Name of matrices where the first non-zero entry of each row is the last non-zero entry of its column












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Is there a name for matrices where the first non-zero entry of each row is the last non-zero entry of its column?



For example this matrix: $$begin{pmatrix}
0 & bf 1 & 0 & 1 \
bf 1 & 0 & 1 & 1 \
0 & 0 & 0 & bf 1 \
0 & 0 & bf 1 & 0 \
end{pmatrix}$$



Like row echelon form, they allow you to quickly determine the rank of a matrix, but I wasn't able to find how they are called (if they have a name).










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    0












    $begingroup$


    Is there a name for matrices where the first non-zero entry of each row is the last non-zero entry of its column?



    For example this matrix: $$begin{pmatrix}
    0 & bf 1 & 0 & 1 \
    bf 1 & 0 & 1 & 1 \
    0 & 0 & 0 & bf 1 \
    0 & 0 & bf 1 & 0 \
    end{pmatrix}$$



    Like row echelon form, they allow you to quickly determine the rank of a matrix, but I wasn't able to find how they are called (if they have a name).










    share|cite|improve this question









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      0





      $begingroup$


      Is there a name for matrices where the first non-zero entry of each row is the last non-zero entry of its column?



      For example this matrix: $$begin{pmatrix}
      0 & bf 1 & 0 & 1 \
      bf 1 & 0 & 1 & 1 \
      0 & 0 & 0 & bf 1 \
      0 & 0 & bf 1 & 0 \
      end{pmatrix}$$



      Like row echelon form, they allow you to quickly determine the rank of a matrix, but I wasn't able to find how they are called (if they have a name).










      share|cite|improve this question









      $endgroup$




      Is there a name for matrices where the first non-zero entry of each row is the last non-zero entry of its column?



      For example this matrix: $$begin{pmatrix}
      0 & bf 1 & 0 & 1 \
      bf 1 & 0 & 1 & 1 \
      0 & 0 & 0 & bf 1 \
      0 & 0 & bf 1 & 0 \
      end{pmatrix}$$



      Like row echelon form, they allow you to quickly determine the rank of a matrix, but I wasn't able to find how they are called (if they have a name).







      linear-algebra matrices terminology






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      share|cite|improve this question










      asked Dec 7 '18 at 17:22









      jixjix

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