Find the eigenvalues and the normalized eigenvectors of the matrices In (b) write the normalized eigenvectors as

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Find the eigenvalues and the normalized eigenvectors of the matrices

(a) 4 1 2 1 -1 -2 2 24

5-20 6 6 (b) -2 -2 2 2 =C  02 7

In (b) write the normalized eigenvectors as the columns of the matrix U and show that UTCU is a diagonal matrix with the eigenvalues in the diagonal.

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