Help understanding matrix











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I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:



https://gyazo.com/fc02fbbe898b586d9901164a6173d766



What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.



Thanks in advance.










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  • Sum to the first row the second row multiplied by $-2$.
    – egreg
    Nov 14 at 16:28















up vote
-4
down vote

favorite












I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:



https://gyazo.com/fc02fbbe898b586d9901164a6173d766



What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.



Thanks in advance.










share|cite|improve this question






















  • Sum to the first row the second row multiplied by $-2$.
    – egreg
    Nov 14 at 16:28













up vote
-4
down vote

favorite









up vote
-4
down vote

favorite











I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:



https://gyazo.com/fc02fbbe898b586d9901164a6173d766



What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.



Thanks in advance.










share|cite|improve this question













I'm stuck on this one task where I should solve the matrix system, but I'm stuck on this part:



https://gyazo.com/fc02fbbe898b586d9901164a6173d766



What I don't understand is how to eliminate 1 2 0 -6 to 1 0 0 0.



Thanks in advance.







matrices matrix-equations






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asked Nov 14 at 16:24









Griezy

12




12












  • Sum to the first row the second row multiplied by $-2$.
    – egreg
    Nov 14 at 16:28


















  • Sum to the first row the second row multiplied by $-2$.
    – egreg
    Nov 14 at 16:28
















Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28




Sum to the first row the second row multiplied by $-2$.
– egreg
Nov 14 at 16:28










1 Answer
1






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0
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accepted










I rewrite the system in the normal form:



$begin{array}{lcl}
x+2y+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 2*(-3)+0z & = & -6 \
0x+y+0z & = & -3 \
0x+0y+1z & = & 1
end{array} rightarrow
begin{array}{lcl}
1x + 0y +0z & = & 0 \
0x+1y+0z & = & -3 \
0x+0y+1z & = & 1
end{array}$



Hope it is helpful.

Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.






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    1 Answer
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    up vote
    0
    down vote



    accepted










    I rewrite the system in the normal form:



    $begin{array}{lcl}
    x+2y+0z & = & -6 \
    0x+y+0z & = & -3 \
    0x+0y+z & = & 1
    end{array} rightarrow
    begin{array}{lcl}
    1x + 2*(-3)+0z & = & -6 \
    0x+y+0z & = & -3 \
    0x+0y+1z & = & 1
    end{array} rightarrow
    begin{array}{lcl}
    1x + 0y +0z & = & 0 \
    0x+1y+0z & = & -3 \
    0x+0y+1z & = & 1
    end{array}$



    Hope it is helpful.

    Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.






    share|cite|improve this answer



























      up vote
      0
      down vote



      accepted










      I rewrite the system in the normal form:



      $begin{array}{lcl}
      x+2y+0z & = & -6 \
      0x+y+0z & = & -3 \
      0x+0y+z & = & 1
      end{array} rightarrow
      begin{array}{lcl}
      1x + 2*(-3)+0z & = & -6 \
      0x+y+0z & = & -3 \
      0x+0y+1z & = & 1
      end{array} rightarrow
      begin{array}{lcl}
      1x + 0y +0z & = & 0 \
      0x+1y+0z & = & -3 \
      0x+0y+1z & = & 1
      end{array}$



      Hope it is helpful.

      Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.






      share|cite|improve this answer

























        up vote
        0
        down vote



        accepted







        up vote
        0
        down vote



        accepted






        I rewrite the system in the normal form:



        $begin{array}{lcl}
        x+2y+0z & = & -6 \
        0x+y+0z & = & -3 \
        0x+0y+z & = & 1
        end{array} rightarrow
        begin{array}{lcl}
        1x + 2*(-3)+0z & = & -6 \
        0x+y+0z & = & -3 \
        0x+0y+1z & = & 1
        end{array} rightarrow
        begin{array}{lcl}
        1x + 0y +0z & = & 0 \
        0x+1y+0z & = & -3 \
        0x+0y+1z & = & 1
        end{array}$



        Hope it is helpful.

        Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.






        share|cite|improve this answer














        I rewrite the system in the normal form:



        $begin{array}{lcl}
        x+2y+0z & = & -6 \
        0x+y+0z & = & -3 \
        0x+0y+z & = & 1
        end{array} rightarrow
        begin{array}{lcl}
        1x + 2*(-3)+0z & = & -6 \
        0x+y+0z & = & -3 \
        0x+0y+1z & = & 1
        end{array} rightarrow
        begin{array}{lcl}
        1x + 0y +0z & = & 0 \
        0x+1y+0z & = & -3 \
        0x+0y+1z & = & 1
        end{array}$



        Hope it is helpful.

        Moreover, plz do the research before asking, and write-right form of the question. The tutorial is here.







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited Nov 14 at 16:46

























        answered Nov 14 at 16:40









        AnNg

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