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Math Help - question involving matrix row column rank proof

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    question involving matrix row column rank proof

    Let A be an m \times n matrix. If k \leq m and l \leq n , then a k \times l matrix B is said
    to be a submatrix of A, if Bcan be obtained from A by deleting some set of m-krows and n-lcolumns of A.
    if we define the determinantal rank of A to be the largest kfor which A has a k \times k
    submatrix with non-zero determinant. Show that this is equal to the usual row or
    column rank of A.
    Last edited by mr fantastic; March 8th 2011 at 02:21 PM. Reason: Fixed a math tag.
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