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Math Help - Nondefective Matrix

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    Nondefective Matrix

    There is a problem in my book speaking of a nondefective matrix; however, my book neglects to define this term and the definitions I have found on the web aren't helping much.

    Can someone help with this question?

    Let A be a nondefective nxn matrix with diagonalizing matrix X. Show that the matrix Y=(X^{-1})^T diagonalizes to A^T.
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    MHF Contributor chiph588@'s Avatar
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