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Math Help - Find null and rank.

  1. #1
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    Find null and rank.

    If dim Null A of a 4 x 5 matrix A is 2, find rank A, dim Col A, dim Row A, and rank A^T

    So far:

    I know that dim null A + rank A = 5, so rank A is equal to 3, and dim Col A is equal to rank A, so it is also 3. But what of the other two? Thanks.
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  2. #2
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    There's a theorem that row rank is always the same as column rank, from which it immediately follows that the rank of a matrix is the same as the rank of the transpose matrix.
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