Constants: a = 2, b = 3 (a) Using multiplication show that vectors u, v, and w are eigenvectors. Determine their corresponding eigenvalues. (b) Write matrices P and D that are used to diagonalize M.

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A: By Bartleby policy I supposed to solve first 3 subparts.Post separately remaining questions.

Q: Please solve without AI and clear handwriting. Thanks

A: Step 1: Step 2: Step 3: Step 4:

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Q: 3) Is it true that an eigenvector of A is also an eigenvalue of A² for a square matrix A?

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Q: the matrix -2 -3

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A: Given,         A=-22-321-6-1-20

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