3 -2 -2 1 Let A = -2 3 -2 and v = 1 Verify that 5 is an eigenvalue of A and v is an eigenvector. Then orthogonally -2 - 2 3 1 diagonalize A. 1 The number 5 is an eigenvalue of A with eigenvector 1 (Type an exact answer, using radicals as needed.) 1 The vector v = 1 is an eigenvector of A with eigenvalue - 1. 1 (Type an exact answer, using radicals as needed.) Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. Enter the matrices P and D below. (Use a comma to separate matrices as needed. Type exact answers, using radicals as needed. Do not label the matrices.)

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Q: O True O False

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