9. Consider the matrix A= 4 (a) Find the eigenvalues of the matrix A. (b) Find eigenvectors corresponding to the eigenvalues you found. (c) Diagonalize the matrix A, i.e., find an invertible matrix P and a diagonal matrix D such that A = PDP-1. (d) Evaluate (i.e., write down an expression for) 4100 [3]. (As part of what you write down, you may have a number raised to a high power. You may leave your expression that way without expanding it. E.g., 210 is preferable to 1024.)

Q: [584] 3. The eigenvalues of the matrix A= 8 5 4 are A₁ = A₂=-3, A3= 15. 4 Find the corresponding…

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Q: 6: Find the eigenvalues and corresponding eigenvectors of the gi matrix. A = [43] 5.

A: Given 2x2 matrixWe have to find the eigen pairs

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Q: 4) Find the largest eigen value for the matrix 1 ^-['s 2] wi A= with x (0)=(7/17_1) 54

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Q: (c) Calculate the eigenvalues and eigenvectors of the following matrix: 1 -4 -2 0. 3 1.

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Q: ( ) 5. (а) А — 3 1

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Q: 3. Determine the following for the matrix A. (a) Find the eigenvalues. (b) Find the bases of…

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Q: A [11 -2] 50-5 Find the eigenvectors of the given matrix: 181-18) 12 i

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Q: (d) Let T be a matrix with only two eigenvalues, 1 and 2. Let u and w be two non-zero eigenvectors…

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Q: Q2. (a) Find the eigenvalues and corresponding eigenvector of the matrix [-2 5 4 5 4 5 -2| in

A: For eigen value , first we subtract λ from the digonal entries of the matrix    A=-25457545-2

Q: ven the matrix A = 3 -2 2 0 genvectors corresponding to the obtain onalize the matrix A.

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Q: Find the matrix A of the quadratic form assoe 2x2 - 3xy - 2y2 + 11 = 0 A = Find the eigenvalues of…

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Q: 1. Determine the eigenvalues and the eigenvectors of the matrices a. (19) b. (-²1)

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Q: 1 2 |. Find 2 1 11. Consider the matrix A = (a) the characteristic polynomial of A; (b) the…

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Q: 2. There is a special relationship a Square Matrix can have with Eigenvectors & Eigenvalues? (Write…

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Q: Q4) Find the largest eigen value for the matrix 2 T A with x (0)=(7/17 1) 54

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