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Math Help - Column Space and rank

  1. #1
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    Column Space and rank

    Hi
    I have a square matrix A whose entries are non negative. I have another matrix B obtained from A by replacing one (or more) column(s) of A by its negative. Is there a special case where corresponding matrix powers , A^k and B^k where k>1, could span the same vector space?

    eg.
    A=[1, 2; 3, 4]
    B=[1, -2; 3, -4]

    Thanks
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  2. #2
    MHF Contributor
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    Re: Column Space and rank

    Hey basta.

    Are your matrices full-rank? If not what are the properties?
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