11. Let (a) (b) (c) 1 3 A = -3 -5 -3 3 3 Find the eigenvalues of A. (Hint: A = −2 is an eigenvalue with multipli 3] 3311 Find the eigenvectors of A. Find matrices P and D such that A = PDP-¹.

Q: and find the corresponding eigenvector.

A: λ is an eigen value if we have Av=λv for some v non-zero.v is called eigen vector.

Q: A = -53 -70 35 45

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Q: What are the eigenvalues and eigenvectors of = [ 1 ² ] 12 = 53 A

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A: The given matrix is,

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A: Given  A = 8-63-1                      The characteristic equation of A is…

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Q: 3. The characteristic polynomial of the matrix A = -1 -1 4 -1 -1 -1 4 is (A − 2)(x - 5)². a) Find…

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