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3. (15%) Assume A c R4x4 has eigenvalues 1, 2, 3, 4. Find (52 - JA-5/)) 1999 where o denotes determinant. (Hint: Note A has

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3. (15%) Assume A c R4x4 has eigenvalues 1, 2, 3, 4. Find (52 - JA-5/)) 1999 where o denotes determinant. (Hint: Note A has distinct eigenvalues and can be put into an eigendecomposed form A = VAV-1 such that (A-501 = \\VAV-1-5VIV-'.)

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