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(Solved): 15 SIMILAR MATRICES HAVE EQUAL EIGENVALUES Verify this for A and A=P1AP. If y is an eigen ...


\( 1-5 \) SIMILAR MATRICES HAVE EQUAL EIGENVALUES Verify this for \( \mathbf{A} \) and \( \mathbf{A}=\mathbf{P}^{-1} \mathbf{

SIMILAR MATRICES HAVE EQUAL EIGENVALUES Verify this for and . If is an eigenvector of , show that are eigenvectors of . Show the details of your work. 1.


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First we find the eigenvalues of P. det(P?xI)=det[1?x336?x]=(1?x)(6?x)?3×3=?7x+x2?3 whose roots are x=7±612. These are the eigenvalues.
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