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Math Help - linear

  1. #1
    edim
    Guest

    linear

    There are 2 non-zero matrix A and B, and A*B=0.
    another matrix C is a row equivalent to A.
    is C*B=0 ?
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  2. #2
    Newbie Brainiac's Avatar
    Joined
    Mar 2005
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    Yes. Because C=E*A for some matrix E.
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  3. #3
    Newbie
    Joined
    Apr 2005
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    actually this is the fundamental reason row equivalence is a useful notion in solving linear systems.

    i.e. this says exactly that any solutions of the equation AX=0, also solve CX=0.

    recall the use of row reduction in solving systems: you reduce A to an equivalent matrix such that CX=0 is easy to solve. then you announce that the solutions are also solutions of AX=0.
    Last edited by Math Help; May 2nd 2005 at 04:35 PM.
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