(i) For which values of c, A has the eigenvalues 0, 3, −3? Find the eigenvectors of A. (ii)Check whether A is digonalizable, and find its diagonal.

Q: 1 0 0 A =| 2 2 -1 1

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Q: A = SooC 0 3 -8 0 0 0 9 T 1

A: Given : A=5-26-103-8000540011

Q: 3 an eigenvector of -4 F 2 19. Is ·- 9] -5 1? If so, find the eigenvalue. 4

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Q: Find the dimension of the eigenspace corresponding to the eigenvalue λ = 3.

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Q: Find the basic eigenvectors of A corresponding to the eigenvalue i. -4 4 0 0 -2 20 0 A = 2 = 2 0 0 2…

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Q: 2 Let A = - 1 1 and A= - 1 is an eigenvalue of A then a = Select one: a. 4 - - 3 O b. 2.

A: To find the value of 'a'.

Q: -1 Find eigenvalues and corresponding eigenvectors for A = -2 2.

A: To obtain the eigenvalues of the matrix obtain a characteristic equation. The characteristic…

Q: - 4 3 Is v = - 2 an eigenvector of A = 2 -3 -2 ? If so, find the eigenvalue. -1 0 - 2 3.

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Q: Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 1 1…

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Q: 1 0 0 6 . A=0 2 1 Compute the eigenvalues and 0 1 3 eigenvectors of A

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Q: 7. Find eigenvalues and eigenvectors of -1 2 0 1 A =

A: step 2 complete solution

Q: -2 2 Determine the eigenvalues and eigenvectors of A = 1 1 -4 8 3

A: The given matrix,A=2-22011-483

Q: Q4: A. Find the Eigenvalues and the corresponding Eigenvectors for A = 1

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Q: 3. If the eigenvalues of A are 2 and -1, with multiplicities 2 and 3, respectively, find the…

A: One of the  Eigen values is 2 with multiplicity 2 The second  Eigen value -1 is with multiplicity 3…

Q: 1 A Let A = 1 2 Find the -1 eigenvalues and eigenvectors of A 3

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Q: Suppose A= and one of its eigenvalues is zero and the other eigenvalue is ß then Oan-2 Cba--1 ca-0…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the eigenvalues and corresponding eigenvectors for (4 -3 A = Is A diagonalizable? Justify your…

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Q: 1. Show that is an eigenvector of A and find the corresponding eigenvalue. 01 [3 0 A=0 1 -2 ,V = 1 0…

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Q: Find the eigenvalues and bases for the eigenspace of A [1 2 31 A = 2 1 4 l3 3 7] and hence if…

A: The given matrix is - A=123214337 We have to find the eigenvalues and eigenvectors of the above…

Q: 3 0 -1 Find an eigenvector of A with eigenvalue 2, where A = 2 4 0 -1 1

A: Explanation of the answer is as follows

Q: 3 20 B = |2 0 0 1 0

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Q: Suppose A and one of its eigenvalues is zero and the %3D other eigenvalue is B then a. B = -j b. B =…

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Q: Find the eigenvalues and their corresponding eigenvectors IN DETAILED STEPS of r2 1 01 A 2-

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Q: -a I and its eigenvalues are real numbers. a Let A "le -b - a and its eigenvalues are real numbers.…

A: Eigenvalues and chacterstick equation

Q: Find the eigenvalues and bases for the eigenspaces of A3 for -4 -8 -8 A = 4 8 4 -4 -4

A: The given matrix is: A=-4-8-8484-4-40

Q: Suppose A = and one of its eigenvalues is zero and the other eigenvalue is B then a. B = -j And find…

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Q: 2) Let A-0 11 1) Find the eigenvalues and the corresponding eigenvectors of A. 2) Is 4…

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Q: 1 2 3 A = 2 1 2 2 0 0 2

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Q: -5 Find its eigenvalues and eigenvectors. 4 Let A = -7

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Q: 2. Let A = 0 1 - 2 - 2 1 Find all eigenvalues and bases for the corresponding eigenspaces of A.

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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: Find the dimension of the eigenspace corresponding to the eigenvalue i = 5. 5 0 0 0 5 1 0 0 5

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Q: 4 Find the eigenvalues of A, given that A = -6 0 ,02= -2 and 3 = and its eigenvectors are v1 = The…

A: Given matrix  A is ,                                                         A =     4    0    0-6…

Q: 20. Let A= 1 0 3 2 -2 2 3 01 a. Find the eigenvalues of A.

A: We have to find out eigenvalues

Q: Suppose A has eigenvalue A = - 1 with corresponding eigenvector u = and eigenvalue X = 2 with…

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Q: Is X= - 2 an eigenvalue of A? If so, find all corresponding eigenvector. -10 -2 2 5 -4 0 2 -2 v=…

A: If λ is an eigenvalue of A then detA-λI=0. Check whether λ=-2 is an eigenvalue of A, calculate the…

Q: A Suppose A € M₁ (R)and B. Find the eigenvalues of B = [ = [2lin in terms 2A of the eigenvalues of…

A: Given A∈MnR and matrix is B=0AA2A. We have to find the eigenvalue of B in terms of A. The eigenvalue…

Q: Show that v is an eigenvector of A and find the corresponding eigenvalue.

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Q: Find the eigenvalues of A3 for -- 2 1 3 6 0 10 9 8 0 16 4 A = 0 5 Enter the eigenvalues in…

A: If λ is the eigen value of A , then λ3is the eigen value of A3 Given A = 213601098001640005 Clearly…

Q: 04) Find the eigenvalues of A, B, and C: --| - - - -- 1 2 3 2 2 2 and C =| 2 2 2 2 2 2 A = 4 5 and B…

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Q: 4 2 - 2 5 1 = 4 II -2 0 3.

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Q: The eigenvalues are A₁ < A₂ <3 < A4, where X₁ has an eigenvector eigenvector = A = -37 15 0 0 -70 28…

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Q: Suppose A has eigenvalue A = 2 with corresponding eigenvector u = , and eigenvalue d = - 1 with…

A: Since  A has distinct eigenvalues . So, matrix A is diagonalizable  Hence, it can be written as…

Q: 2 b) Find the eigenvalues and corresponding eigenvectors of A= -1

A: The question is taken from the Matrix in which we have to find the  Eigen value and Eigen vector so…

Q: (d) Find the eigenvalue. and bases for the eigenspaces of A+3I and A-1. -21 2. V VIInnITT ATA TA -2…

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Q: Q2) find eigenvalue eigenvector of A O 3. x(0,0) = (1,1)

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Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 121 O 1 2

A: Solution :-

Q: Find the eigenvalues and eigenvectors of -2 2 -3 A = 홍콩 -6 -2 0 -2 2 1 -1

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Q: Find the eigenvalues of A=[a b a b] for any a,b of R . Determine all the values of the constants a,b…

A: Given matrix is A=abab. First we have to find the eigenvalues of the matrix A. The eigenvalues of A…