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Let A = 4 2 1 2 . (i) Find the eigenvalues and the corresponding eigenvectors of A. (ii) Find an invertible matrix P and

Let A = 4 2 1 2 . (i) Find the eigenvalues and the corresponding eigenvectors of A. (ii) Find an invertible matrix P and a matrix C of the form C = a b b a such that A = P CP 1 .

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