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Math Help - Invertible Matrices

  1. #1
    Junior Member
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    Invertible Matrices

    Hi,

    I was given this problem in my differential equations course and I'm not too sure how to solve for it:

    Let A=A(t) be an n x n matrix, let y be a solution of the system y=Ay on (a,b) and let P=P(t) be an n x n matrix, invertible and differentiable on (a,b).

    Find a matrix B such that Py is a solution to the system x=Bx on (a,b).

    Thanks a lot for your help.
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  2. #2
    A Plied Mathematician
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    I'm assuming you meant y'=Ay and x'=Bx, right?

    What ideas have you had so far?
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