It is simple to show that neither the row rank nor the column rank are changed by an elementary row operation. As Gaussian elimination proceeds by elementary row operations, the decreased row echelon form of a matrix has precisely the same row rank and the exact same column rank as the initial matrix.
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Thinking of matrices as tensors, SOCCER BETTING TIPS the tensor rank generalizes to arbitrary tensors; for tensors of buy better than two (matrices are buy 2 tensors), rank may be very tough to compute, in contrast to for matrices.
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