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.

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

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

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Q: Find the eigenvalues of A, and find a basis for each eigenspace. A: Select one: -2 + 4i,, A.-2-41,…

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Q: Suppose ?<0λ<0 and ?u are a pair of eigenvalue and eigenvector of a 2×22×2 matrix ?A and ?=??v=Au.…

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Q: Q2 5 8. 16] Find the charactenstic polynomial of the matrix A 8 mentioned in -4 -1 Example 1 and use…

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Q: eigens - 8 6 Select all that apply. 2+2 i 2-2i O A. A= 4 + 2 i; v = O B. A= - 4 + 2 i; v = 2 2-2i…

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Q: 3 Let v₁ = -3 and v2 = 2 be eigenvectors of the matrix A which correspond to the eigenvalues X1 1 0…

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Q: a) Find a 2 × 2 matrix A such that (−4, 0) and (−2, −4) are eigenvectors of A corresponding…

A: Let M be a n×n matrix, then we say that λ is an eigenvalue of M if there exists a vector v such that…

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Q: Find the eigenvalues of A, B, and C: -- - -- --- 2 3 0 4 5 0 0 6 To o 1 and B =0 2 0 2 2 27 and C =2…

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Q: 27. Find the characteristic equation, eigenvalues, eigenvectors and the bases for the eigenspaces of…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

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Q: B3: Consider the matrix: 1 3 A = -2 -3 -3 2 -1 -1 a) Find the eigenvalues of A. For each eigenvalue…

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Q: Q6. Find eigenvalues and associated eigenvectors for each matrix. [-1 4 -1] b) A = 0 1 0 03-21 a) A…

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Q: 8. 16 Find the characteristic polynomial of the matrix A = 8 mentioned in 4 -4 Example I and use it…

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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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