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Math Help - Find nosingular matrix

  1. #1
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    Find nosingular matrix

    Find nonsingular matrix C such that C^-1AC is a diagonal matrix
    lets say A =
    [ 1 0 ]
    [ 1 3 ]


    I know some properties like the DET will be the same and they have same eigenvalues. I also know if the basis of B (or C^--1AC) is U and the bases for A is E, then U = AE.

    However, I don't know how to put all of this together to get the answer. How would I even get the basis of a matrix?
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  2. #2
    A Plied Mathematician
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    What's normally done, assuming you can do this (not always true), is that you construct the diagonal matrix out of the eigenvalues of A, and you construct the columns of C out of the eigenvectors of A. So, solve the eigenvalue problem for A, and post what you get.
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  3. #3
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    Thanks, I managed to work it out
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  4. #4
    A Plied Mathematician
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    You're welcome. Have a good one!
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