3 6. #5. Let A = -- 2 3 What are the eigenvalues of A? 4 0. (A)3, – 2,4 (B) – 3, 2, - 4 (C) 1, 6,7 (D) 3, 4,7 (E) – 2, – 3,5

Q: Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector. -4-2 2₁-11, x₁ =…

A: Given matrix is A = -4-23-2-7612-6

Q: 1. (9pts) Diagonalize the matrix below by the following steps: 2 2 A: 1 3 -1 eigenvalues are λ = 5,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Given the matrix and its eigenvalues 3- 1-R 1 becomes has eigenvalues R = 1 + i -1 1-R Find the new…

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Q: c-[and D-191 = C = a) Compute: 3C-5D @ @ (iv) C and D. DC det (C) C-¹ b) Find the eigenvalues and…

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Q: [3 2] ? Why or why not? 3 8 2. Is A = 2 an eigenvalue of

A: Given statement  Is 2 is an eigenvalue of the given matrix.

Q: eigenvalues 4 - 2 1 0 -1 Tota- 23 3 -2 -3 4 2 1 0 1-11 -2 5 -2 3 -2 - 1 1 -2 4

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Q: (3 5) 5. Let A 2 6 (a) Find the characteristic polynomial of A. (b) Find the eigenvalues of A.

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Q: Suppose that A = 0 7 2 . Find the eigenvalues of A and A1` Separate them by commas 0 0 5 The…

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Q: Find the characteristic polynomial and the eigenvalues of the matrix. 62 26 The characteristic…

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Q: of the following

A: We have to find eigenvalue

Q: 3 0 0 -2 7 2. Find h in the matrix A= such that the eigenspace for A=7 is one- -1 0 4 -6 5 7…

A: Here, the matrix is A=3000-27000h-104-657 and the eigenvalue of the matrix is λ=7.

Q: The eigenvalues of A = -25 are: 1 2 01 = 3, 3 O1= - 3, 3 o1 = -2, 2 A = - 3, - 3 %3D

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Q: (BH) For the following matrix B, find the eigenvectors z; corresponding to each of the listed…

A: To find the eigenvectors η, solve A-λ Iη=0 for each eigenvalue λ

Q: 4.- From the following 3X3 matrix, obtain the characteristic polynomial, the eigenvalues and the…

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