3-1 c 20 Let B = 0 2 C - 1 3 product of the eigenvalues of B is 16. A. c = ± 1 B. c = 1 C. c = 0 Find C so that the OD. None in the given list. E. c = - 1

Q: r10 0 1 Let A = 12-0 then the eigenvalues of A are . 14 -2 b O 2,2-,1 8-,8,1 nned with CamScanner…

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Q: [2 0 1 The product of eigenvalues of 4 3 3 0 2 is Select one: О а. -10 O b. -2 O c. 10 O d. 2

A: The product of eigenvalues of a square matrix A is the same as the determinant of matrix A.

Q: 4 Find the eigenvalues of A, given that A = -15 0 0 7 12 12 −6 −11

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Q: -19 40 Find the eigenvalues and eigenvectors for A = -4 5

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Q: -1 0 0] . Let A = 1 0. The eigenvalues of A19 are the same as the I 1 0] eigenvalues of A²º. O True…

A: Given that:

Q: 3 6 12 For A= 3 6 12 find one eigenvalue, with no calculation. Justify your answer. 3 6 12 Choose…

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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: 10 1 0 26 eigenvalues is 4. Hint: you will have to do polynomial division. Find the eigenvalues of A…

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Q: -1 0 If A 3 2 then the eigenvalues of A are 1,4

A: Two methods to find eigen value of A^3 . 1st : Simply find A^3 and find its eigen value. 2nd : If…

Q: Find the eigenvalues and the corresponding eigenvectors for the following matrices [3 1 41 1. A = 2…

A: We know that  A-λI=0 [A-λI]=11313-3-2-24-λ100010001[A-λI]=1-λ1313-λ-3-2-24-λ Now finding determinant…

Q: 4-2 Let A--3 4 0 and A-1, is an eigenvalue of A. what is the basis of the eigenspace of A -3…

A: We have given a matrix A having an eigen value 1 we have to find eigen vector corresponding to 1.

Q: Find one eigenvalue and one eigenvector of B. [0.1 0.1 0 1 B = 0.6 0.5 0 0.3 0.5 0

A: Our aim is to find one eigen value and one eigen vector of B.B=0.1010.60.500.30.50

Q: Choose all true statements. If B = eA where A = (4) -1 2 0 4 e-10 then I. B has diagonal form 0 e4…

A: Statement (ii) and (iv) is true. Hence, option  (D) is true.

Q: [7-3] 6 . For each eigenvalue of B, find a corresponding eigenvector. . Find the eigenvalues of B =…

A: Eigen value can be found by using determinant of Matrix - (Lembda)(I)= 0

Q: 6. a 2 Given A := 6. -7 2 for some a E R, and u := 6 -10 5 (a) Find the value(s) of a to have u as…

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Q: -2 3 Find the eigenvectors of A= -2 -1 The eigenvalues are 1 = 2,1 = 1,2 = 4. 3.

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Q: 210 -1 0 1 1 31 Let A = 2.1 Find the eigenvalues of A. 2.2Find bases for the eigenspaces of A.

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Q: 3 Find the eigenvalues of A, given that A = 0. 3 %3D 4 -4 -9 nd its eigenvectors are and - 1 he…

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Q: 3 -1 0 The eigenvalues of A = (-1 3 0)are: 0 0 4 Select one: a. 2, 2, 4 b. 2, 4, 4 C. -2, 4, 4 O d ?…

A: The given matrix is:A=3-10-130004

Q: cos ( sin 0 - sin Ꮎ :) Cos

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Q: Determine the dominant eigen value of [ 1 3 A = 5 7 by power method.

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Q: 1 1 A=[ 6 . -1 L-1 -2 -1 Find the eigenspace corresponding to eigenvalue A = 3 %3D

A: Given, A=1216-10-1-2-1 One of the Eigen value is λ=3. To find the eigen space, solve the following…

Q: (1) Find all eigenvalues of A.(2) Find the eigenspaces of A.(3) Find the algebraic multiplicity and…

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Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -1 8-6…

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Q: ind the eigenvalues of A, B. and C: 1 2 3 A =0 4 5 0 0 6 and B =0 2 0 3 00 目 2 2 2 2 2 2 2 2 2 and C…

A: Eigen value of matrix A is 1,4,6. Eigen value of matrix B is 2, -√3, √3.

Q: Q3. [-2 2 31 Let, A-2 3 2. Find the eigenvalues and bases for the eigenspace of A and A-¹. L-4 2 5J

A: Given matrix is A= -223-232-425

Q: 1 -3 5 Consider A : 3 a Find A? and A-1. b Find the eigenvalues of A, A², and A-1.

A: Given matrix is  A=1-3-53 This matrix is order of 2×2. (A) Find A2 and A-1   Find A2=AA The…

Q: a -8 b If C 4-3 b has eigenvalues ₁=1, A₂=2, A3, which of the following is equal to b? 3-4 1 O Ab=8…

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Q: 3 -1 0 The eigenvalues of A = (-1 3 0) are: 0 0 4 Select one: O a. 2, 4, 4 O b. 2, -4, 4 O c. -2, 4,…

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Q: Given an eigenvector of 3 find B1 & B2 1-i А. В. 3 3 С. 3 D. E. None -1

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Q: [- 5 10 Find the eigenvalues of A = 8 - 3 - 32 , given that its eigenvectors are The eigenvalues are…

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