Question: Problem 3 (5 points): For A = -1 0-8) 7 7 -8 108 3). find the characteristic polynomial, the eigenvalues, and their algebraic multiplicities.

Problem 3 (5 points): For A = -1 0-8) 7 7 -8 

Problem 3 (5 points): For A = -1 0-8) 7 7 -8 108 3). find the characteristic polynomial, the eigenvalues, and their algebraic multiplicities. Show your work. Problem 4 (5 points): Diagonalize A = - (6 5). (That is, find an invertible P and diagonal D with A = PDP-.)

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