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Math Help - Linear Transformation Question.

  1. #1
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    Linear Transformation Question.

    Hi,
    I'm having some trouble with part 2 of this question. Any help would be appreciated. Thanks,
    Mike
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  2. #2
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    Quote Originally Posted by mslodyczka View Post
    Hi,
    I'm having some trouble with part 2 of this question. Any help would be appreciated. Thanks,
    Mike
    Let A be the matrix for part 1. Find the eigenvalues for A by solving the characteristic equation. Find 3 orthonormal eigenvectors corresponding to the eigenvalues. These are the basis vectors for B'. Form matrix P from these basis vectors. Then P^T = P^-1 from orthonormality. The representation matrix is R = P^-1 A P, which is diagonal with the eigenvalues on the diagonal.
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