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Math Help - Is the rank of a 3x3 matrix all 0 .....

  1. #1
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    Is the rank of a 3x3 matrix all 0 .....

    Is the rank of a 3x3 matrix with 0 for all entries 0 or 3?

    0 Isnt it?
    Last edited by mr fantastic; July 27th 2010 at 04:56 AM. Reason: Copied title into main body of post, minor consequential editing.
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  2. #2
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    It is 0 since there are no nonzero rows after row reduction.
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  3. #3
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    Another way of seeing it: The rank of a matrix from R^m to R^m is the dimension of the subspace it maps R^n into. The 0 matrix maps every vector into the 0 vector- a "subspace" of dimension 0.
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