Alignment of six matrices












5















I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



An MWE to the problem:



documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
I _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
I _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}


Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....










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    5















    I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



    An MWE to the problem:



    documentclass{article}
    usepackage[margin=2.5cm]{geometry}
    usepackage{amssymb, amsthm, mathtools}
    begin{document}
    begin{align*}
    I _ { 1 } &=
    begin{pmatrix}
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 1 } \
    { 0 } & { 0 } & { - 1 } & { 0 }
    end{pmatrix},
    I _ { 2 } &&=
    begin{pmatrix}
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 1 } \
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { -1} & { 0 } & { 0 }
    end{pmatrix},
    I _ { 3 } &&=
    begin{pmatrix}
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 1 } & { 0 } \
    { 0 } & { -1 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 }
    end{pmatrix}, \
    J _ { 1 } &=
    begin{pmatrix}
    { 0 } & { -1} & { 0 } & { 0 } \
    { -1} & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 }
    end{pmatrix},
    J _ { 2 } &&=
    begin{pmatrix}
    { 0 } & { 0 } & { -1} & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 } \
    { -1} & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 }
    end{pmatrix},
    J _ { 3 } &&=
    begin{pmatrix}
    { 0 } & { 0 } & { 0 } & { - 1 } \
    { 0 } & { 0 } & { 0 } & { 0 } \
    { 0 } & { 0 } & { 0 } & { 0 } \
    { - 1 } & { 0 } & { 0 } & { 0 }
    end{pmatrix}.
    end{align*}
    end{document}


    Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....










    share|improve this question









    New contributor




    Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.























      5












      5








      5


      1






      I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



      An MWE to the problem:



      documentclass{article}
      usepackage[margin=2.5cm]{geometry}
      usepackage{amssymb, amsthm, mathtools}
      begin{document}
      begin{align*}
      I _ { 1 } &=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 1 } \
      { 0 } & { 0 } & { - 1 } & { 0 }
      end{pmatrix},
      I _ { 2 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 1 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { -1} & { 0 } & { 0 }
      end{pmatrix},
      I _ { 3 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 1 } & { 0 } \
      { 0 } & { -1 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 }
      end{pmatrix}, \
      J _ { 1 } &=
      begin{pmatrix}
      { 0 } & { -1} & { 0 } & { 0 } \
      { -1} & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 }
      end{pmatrix},
      J _ { 2 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { -1} & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { -1} & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 }
      end{pmatrix},
      J _ { 3 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { - 1 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { - 1 } & { 0 } & { 0 } & { 0 }
      end{pmatrix}.
      end{align*}
      end{document}


      Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....










      share|improve this question









      New contributor




      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.












      I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



      An MWE to the problem:



      documentclass{article}
      usepackage[margin=2.5cm]{geometry}
      usepackage{amssymb, amsthm, mathtools}
      begin{document}
      begin{align*}
      I _ { 1 } &=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 1 } \
      { 0 } & { 0 } & { - 1 } & { 0 }
      end{pmatrix},
      I _ { 2 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 1 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { -1} & { 0 } & { 0 }
      end{pmatrix},
      I _ { 3 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 1 } & { 0 } \
      { 0 } & { -1 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 }
      end{pmatrix}, \
      J _ { 1 } &=
      begin{pmatrix}
      { 0 } & { -1} & { 0 } & { 0 } \
      { -1} & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 }
      end{pmatrix},
      J _ { 2 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { -1} & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { -1} & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 }
      end{pmatrix},
      J _ { 3 } &&=
      begin{pmatrix}
      { 0 } & { 0 } & { 0 } & { - 1 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { 0 } & { 0 } & { 0 } & { 0 } \
      { - 1 } & { 0 } & { 0 } & { 0 }
      end{pmatrix}.
      end{align*}
      end{document}


      Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....







      align






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      edited Mar 20 at 18:38









      Bernard

      174k776206




      174k776206






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      asked Mar 20 at 18:10









      Marius JaegerMarius Jaeger

      404




      404




      New contributor




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      New contributor





      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






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      Check out our Code of Conduct.






















          2 Answers
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          active

          oldest

          votes


















          7














          I just moved the &



          enter image description here



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          begin{document}
          begin{align*}
          I _ { 1 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { - 1 } & { 0 }
          end{pmatrix},
          &I _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { -1} & { 0 } & { 0 }
          end{pmatrix},
          &I _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 1 } & { 0 } \
          { 0 } & { -1 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}, \
          J _ { 1 } &=
          begin{pmatrix}
          { 0 } & { -1} & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { -1} & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { - 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { - 1 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}.
          end{align*}
          end{document}





          share|improve this answer
























          • David and his movement made me feel good.

            – manooooh
            Mar 20 at 18:33






          • 1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            Mar 20 at 19:26











          • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            Mar 20 at 20:10













          • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            Mar 20 at 20:15











          • @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            Mar 20 at 20:43



















          6














          Uniform alignment everywhere...



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          usepackage{tabstackengine}
          setstacktabbedgap{1ex}
          begin{document}
          fixTABwidth{T}
          begin{align*}
          I _ { 1 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & { 1 } \
          0 & 0 & { - 1 } & 0
          },&
          I _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          }, &
          I _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          }, \
          J _ { 1 } =&
          parenMatrixstack[r]{
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & { - 1 } \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          }.
          end{align*}
          end{document}


          enter image description here






          share|improve this answer





















          • 2





            These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

            – barbara beeton
            Mar 20 at 23:40











          • @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

            – Steven B. Segletes
            Mar 21 at 1:32











          • @steven : This solution doesn't compile with overleaf.com, error at line 51.

            – pzorba75
            Mar 21 at 4:31











          • @pzorba75 Sorry I cannot assist...I am not an overleaf user.

            – Steven B. Segletes
            Mar 21 at 4:36











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          2 Answers
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          2 Answers
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          7














          I just moved the &



          enter image description here



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          begin{document}
          begin{align*}
          I _ { 1 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { - 1 } & { 0 }
          end{pmatrix},
          &I _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { -1} & { 0 } & { 0 }
          end{pmatrix},
          &I _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 1 } & { 0 } \
          { 0 } & { -1 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}, \
          J _ { 1 } &=
          begin{pmatrix}
          { 0 } & { -1} & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { -1} & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { - 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { - 1 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}.
          end{align*}
          end{document}





          share|improve this answer
























          • David and his movement made me feel good.

            – manooooh
            Mar 20 at 18:33






          • 1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            Mar 20 at 19:26











          • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            Mar 20 at 20:10













          • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            Mar 20 at 20:15











          • @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            Mar 20 at 20:43
















          7














          I just moved the &



          enter image description here



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          begin{document}
          begin{align*}
          I _ { 1 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { - 1 } & { 0 }
          end{pmatrix},
          &I _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { -1} & { 0 } & { 0 }
          end{pmatrix},
          &I _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 1 } & { 0 } \
          { 0 } & { -1 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}, \
          J _ { 1 } &=
          begin{pmatrix}
          { 0 } & { -1} & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { -1} & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { - 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { - 1 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}.
          end{align*}
          end{document}





          share|improve this answer
























          • David and his movement made me feel good.

            – manooooh
            Mar 20 at 18:33






          • 1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            Mar 20 at 19:26











          • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            Mar 20 at 20:10













          • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            Mar 20 at 20:15











          • @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            Mar 20 at 20:43














          7












          7








          7







          I just moved the &



          enter image description here



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          begin{document}
          begin{align*}
          I _ { 1 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { - 1 } & { 0 }
          end{pmatrix},
          &I _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { -1} & { 0 } & { 0 }
          end{pmatrix},
          &I _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 1 } & { 0 } \
          { 0 } & { -1 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}, \
          J _ { 1 } &=
          begin{pmatrix}
          { 0 } & { -1} & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { -1} & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { - 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { - 1 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}.
          end{align*}
          end{document}





          share|improve this answer













          I just moved the &



          enter image description here



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          begin{document}
          begin{align*}
          I _ { 1 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { - 1 } & { 0 }
          end{pmatrix},
          &I _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { -1} & { 0 } & { 0 }
          end{pmatrix},
          &I _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 1 } & { 0 } \
          { 0 } & { -1 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}, \
          J _ { 1 } &=
          begin{pmatrix}
          { 0 } & { -1} & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 2 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { -1} & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { -1} & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 }
          end{pmatrix},
          &J _ { 3 } &=
          begin{pmatrix}
          { 0 } & { 0 } & { 0 } & { - 1 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { 0 } & { 0 } & { 0 } & { 0 } \
          { - 1 } & { 0 } & { 0 } & { 0 }
          end{pmatrix}.
          end{align*}
          end{document}






          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Mar 20 at 18:25









          David CarlisleDavid Carlisle

          495k4111411889




          495k4111411889













          • David and his movement made me feel good.

            – manooooh
            Mar 20 at 18:33






          • 1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            Mar 20 at 19:26











          • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            Mar 20 at 20:10













          • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            Mar 20 at 20:15











          • @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            Mar 20 at 20:43



















          • David and his movement made me feel good.

            – manooooh
            Mar 20 at 18:33






          • 1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            Mar 20 at 19:26











          • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            Mar 20 at 20:10













          • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            Mar 20 at 20:15











          • @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            Mar 20 at 20:43

















          David and his movement made me feel good.

          – manooooh
          Mar 20 at 18:33





          David and his movement made me feel good.

          – manooooh
          Mar 20 at 18:33




          1




          1





          @marmot I didn't look at them (as I say I just moved the & ) but what about them?

          – David Carlisle
          Mar 20 at 19:26





          @marmot I didn't look at them (as I say I just moved the & ) but what about them?

          – David Carlisle
          Mar 20 at 19:26













          @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

          – David Carlisle
          Mar 20 at 20:10







          @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

          – David Carlisle
          Mar 20 at 20:10















          @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

          – David Carlisle
          Mar 20 at 20:15





          @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

          – David Carlisle
          Mar 20 at 20:15













          @marmot in that case, which convention do you prefer?^^

          – Marius Jaeger
          Mar 20 at 20:43





          @marmot in that case, which convention do you prefer?^^

          – Marius Jaeger
          Mar 20 at 20:43











          6














          Uniform alignment everywhere...



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          usepackage{tabstackengine}
          setstacktabbedgap{1ex}
          begin{document}
          fixTABwidth{T}
          begin{align*}
          I _ { 1 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & { 1 } \
          0 & 0 & { - 1 } & 0
          },&
          I _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          }, &
          I _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          }, \
          J _ { 1 } =&
          parenMatrixstack[r]{
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & { - 1 } \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          }.
          end{align*}
          end{document}


          enter image description here






          share|improve this answer





















          • 2





            These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

            – barbara beeton
            Mar 20 at 23:40











          • @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

            – Steven B. Segletes
            Mar 21 at 1:32











          • @steven : This solution doesn't compile with overleaf.com, error at line 51.

            – pzorba75
            Mar 21 at 4:31











          • @pzorba75 Sorry I cannot assist...I am not an overleaf user.

            – Steven B. Segletes
            Mar 21 at 4:36
















          6














          Uniform alignment everywhere...



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          usepackage{tabstackengine}
          setstacktabbedgap{1ex}
          begin{document}
          fixTABwidth{T}
          begin{align*}
          I _ { 1 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & { 1 } \
          0 & 0 & { - 1 } & 0
          },&
          I _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          }, &
          I _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          }, \
          J _ { 1 } =&
          parenMatrixstack[r]{
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & { - 1 } \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          }.
          end{align*}
          end{document}


          enter image description here






          share|improve this answer





















          • 2





            These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

            – barbara beeton
            Mar 20 at 23:40











          • @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

            – Steven B. Segletes
            Mar 21 at 1:32











          • @steven : This solution doesn't compile with overleaf.com, error at line 51.

            – pzorba75
            Mar 21 at 4:31











          • @pzorba75 Sorry I cannot assist...I am not an overleaf user.

            – Steven B. Segletes
            Mar 21 at 4:36














          6












          6








          6







          Uniform alignment everywhere...



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          usepackage{tabstackengine}
          setstacktabbedgap{1ex}
          begin{document}
          fixTABwidth{T}
          begin{align*}
          I _ { 1 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & { 1 } \
          0 & 0 & { - 1 } & 0
          },&
          I _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          }, &
          I _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          }, \
          J _ { 1 } =&
          parenMatrixstack[r]{
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & { - 1 } \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          }.
          end{align*}
          end{document}


          enter image description here






          share|improve this answer















          Uniform alignment everywhere...



          documentclass{article}
          usepackage[margin=2.5cm]{geometry}
          usepackage{amssymb, amsthm, mathtools}
          usepackage{tabstackengine}
          setstacktabbedgap{1ex}
          begin{document}
          fixTABwidth{T}
          begin{align*}
          I _ { 1 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & { 1 } \
          0 & 0 & { - 1 } & 0
          },&
          I _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          }, &
          I _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          }, \
          J _ { 1 } =&
          parenMatrixstack[r]{
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 2 } =&
          parenMatrixstack[r]{
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          },&
          J _ { 3 } =&
          parenMatrixstack[r]{
          0 & 0 & 0 & { - 1 } \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          }.
          end{align*}
          end{document}


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Mar 21 at 1:31

























          answered Mar 20 at 19:11









          Steven B. SegletesSteven B. Segletes

          159k9204412




          159k9204412








          • 2





            These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

            – barbara beeton
            Mar 20 at 23:40











          • @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

            – Steven B. Segletes
            Mar 21 at 1:32











          • @steven : This solution doesn't compile with overleaf.com, error at line 51.

            – pzorba75
            Mar 21 at 4:31











          • @pzorba75 Sorry I cannot assist...I am not an overleaf user.

            – Steven B. Segletes
            Mar 21 at 4:36














          • 2





            These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

            – barbara beeton
            Mar 20 at 23:40











          • @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

            – Steven B. Segletes
            Mar 21 at 1:32











          • @steven : This solution doesn't compile with overleaf.com, error at line 51.

            – pzorba75
            Mar 21 at 4:31











          • @pzorba75 Sorry I cannot assist...I am not an overleaf user.

            – Steven B. Segletes
            Mar 21 at 4:36








          2




          2





          These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

          – barbara beeton
          Mar 20 at 23:40





          These matrices align nicely because I and J happen to be about the same width. But if they had instead been I and M, the alignment would have been different. Better to put the "second" & before the = sign in each instance.

          – barbara beeton
          Mar 20 at 23:40













          @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

          – Steven B. Segletes
          Mar 21 at 1:32





          @barbarabeeton Thanks for the great suggestion. Only clarification is that in TABstackengine, the & should, by default, follow the = rather than precede it.

          – Steven B. Segletes
          Mar 21 at 1:32













          @steven : This solution doesn't compile with overleaf.com, error at line 51.

          – pzorba75
          Mar 21 at 4:31





          @steven : This solution doesn't compile with overleaf.com, error at line 51.

          – pzorba75
          Mar 21 at 4:31













          @pzorba75 Sorry I cannot assist...I am not an overleaf user.

          – Steven B. Segletes
          Mar 21 at 4:36





          @pzorba75 Sorry I cannot assist...I am not an overleaf user.

          – Steven B. Segletes
          Mar 21 at 4:36










          Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.










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          Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.













          Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.












          Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.
















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