Question: (15) Let 0 7E 5 be a. real parameter. Consider the matrix a, A: a5 (15 (a) Find all the eigenvalues of A. DO'IO ERGO

(15) Let 0 7E 5 be a. real parameter. Consider the matrix a, A: a5 (15 (a) Find all the eigenvalues of A. DO'IO ERGO (2) (b) What are the algebraic multiplicities of the eigenvaluai you found in (a) above? (1) \f(d) What are the geometric multiplicities of the eigenvalues you found in (a) above? (1) (e) IS A diagonalizable? If it is, nd an invertible matrix P and a diagonal matrix D such that P'lAP = D. If it is not, explain why not. (1)

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