1. Find the eigenvalues and eigenvectors of (a) (1 -2 14 6 -4 b) († 2¹). (i 1

Q: 1A-()() If A = and is an eigenvector then %3D 2 3 O a. a = 3 O b. a = 2 Oca=4 O'd.a = 1

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Q: [7 3] Find the eigenvalues and eigenvectors of the matrix A = 1 5

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Q: [3 2 0] Consider the quadratic form Q(x) = x" Ax, where A = 2 2 2 0 2 1 (a) Given that vị 2 and v2…

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Q: [5 6 -18] | Let A = 0 2 -6 12 -6 Find only the eigenvalues of A. Show all work.

A: Here the given matrix is A=56-1802-612-6. We have to find the eigen values of the given matrix A.

Q: 4. (a) (b) (c) 30 0 Given A = 0 4-6 5 1 -3 Find the eigenvalues for A. Find a basis for each…

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Q: 1 -1 If A.x = Àx where A = 1 2 1 and the eigenvalues are known to be -2 1 -1 A1 = -1, 2 =1 and A3 2,…

A: We have to find the eigen-vector for the given matrix.

Q: Find the eigenvalues and eigenvectors of the following matrix ) 7 (a) A = (

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Q: 0 01/2 0 Let B = PAP-¹. 9. Let A = (a) What is P-¹? 0 0 1/3] . Let P = న/న/- ostst (b) What are the…

A: Due to Bartleby answering guidelines I have solved only first three Subparts of the given question…

Q: 1. Using the matrix Find 3 1 -- ( ³₁ ₂! 1 ) -1 31 A = (a) AA' and (AA')-¹. (b) The eigenvalues and…

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Q: -1 Let be the eigenvector corresponding to the largest eigenvalue of the matrix 1 -1 x A =0 -1 2 2…

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Q: Suppose that the matrix M has the eigenvector 3. You are also given that Then where I- 8 -12 16…

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Q: [8 -4 Given the matrix A=4 0 2 has an eigenvalue 4 with the corresponding eigenvector lo -2 -3) X =…

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Q: 2 1 Find an eigenvector of the matrix 48 - 12 10 corresponding to the eigenvalue A - 4. %3D 18 3 1

A: solution of the given problem is below...

Q: 3. Find the eigenvalues and cigenspaces, as well as a basis for each eigenspace. (a) [88] 12 3 4 000…

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Q: III) T F If λ = 1 - 2i is an an eigenvalue of A. eigenvalue of A E Maxn, then 1+2i is

A: Given,              λ=1-2ι is an eigenvalue of A∈Mn×n We need to see whether 1+2ι is an eigenvalue…

Q: 4 Find A" where A = 2 . You are given that the eigenvalues of A are 3 and 4 with corresponding…

A: We will find a nonsingular matrix P and a diagonal matrix D to solve this question.

Q: 5. Is 4 H 1 -3 an eigenvector of 3 79 -4 -5 1? If so, find the eigenvalue. 2 4 4

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Q: (2 1 Question 3. Let A = (0 2 1 -1 -2/ (3a) Find the egenvalues of A. (3b) Find the eigenvectors of…

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Q: 7. Let 3 0 0 A = |1 3 1 5 1 3 Compute the eigenvalues of A. Is A diagonalizable?

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Q: 4 Find A" where A = -2 .You are given that the eigenvalues of A are 3 and 4 with corresponding…

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Q: 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…

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Q: 2 0 The product of eigenvalues of 4 -3 is 0 2 -1 23

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Q: 2. Suppose that you are told the matrix b c- 26] c 2b - a -a- 2b+2c b a+ 26 a A 36 has an eigenvalue…

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Q: [3 2 Find all the eigenvalues for A = Find one eigenvector corresponding to each eigenvalue 1 4

A: Consider the given matrix as:

Q: [7 1. Is A = -2 an eigenvalue of 3 1] 2. Is 2 an cigenvector of 2 1] 2 0 3 ? 3 1 2 1

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