-1 (2) Is A= 4 an eigenvalue of 3 1 ? If so, find one corresponding eigenvector. -3 4 5 (3) Find a basis of the eigenspace of 4 2 3 -1 1 -3 4 9. correspinding to A= 3.

Q: -4 2 1 3. Find a basis for the eigenspace corresponding to the -5 (eigenvalue).

A: Given the matrix is  -4231. We have to find a basis for the eigenspace corresponding to the…

Q: Let A 2 -2 (² -3²) 0 1. Calculate the eigenvalues of A. 2. And if possible, construct the diagonal…

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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: -1 2 0 Find the eigenvalues of A, given that A O -3 0 -6 2 5 and its eigenvectors are and 1 The…

A: Here we have two methods to find eigen values 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: -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: 1 0 0 6 . A=0 2 1 Compute the eigenvalues and 0 1 3 eigenvectors of A

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Q: - 1 -10 -2 Is v = 5 an eigenvector of A = 2 5 -4 ? If so, find the eigenvalue. 2 0 2 - 2 ...

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Q: A, IS an eigenvalue ofA and that X; Is a corresponding eigenvector. 1 = 5, x, = (1, 2, –1) 12= -3,…

A: The given matrix is A=-22-321-6-1-20 the characteristic equation is A-λI=0…

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

A: The given matrix,A=2-22011-483

Q: 4 0 -1 Find a basis for the eigenspace corresponding to the eigenvalue =3 of the matrix 3 0 3. 2 -2…

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Q: An eigenvector of 5 2 corresponding to the eigenvalue A=8 is 36 2 -3 B. 3 -2 C. O D. None of these

A: Let X be Eigen vector corresponding to matrix A and Eigen value c .  Then , AX = cX

Q: [2] 6. -2 01 . If 1 is an eigenvector of-2 5 0, the eigenvalue corresponding to the eigenvector is 3…

A: From the given problem:   x=219;  A=6-20-290583   As we that the expression for finding…

Q: Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 7 1 A = - 3 0-15,…

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Q: Find the eigenvalues and eigenvectors of 2 00 0 3 0 0 0 5 and show that the eigenvectors is the…

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Q: [-2 2 31 Let, A = |-2 3 5] 2|. Find the eigenvalues and bases for the eigenspace of A and A- -4 2

A: Given matrix is: A=-223-232-425 Roots of characteristic polynomial denotes the eigenvalues of…

Q: 6. Let and additionally we are given that -3 -5 A -3 1 20 1 1 3 A = 9][8 0 0 3 0 3 0 3 -1 -1 0 5 00…

A: Solution is given below:

Q: [8 -4 is an eigenvector of 4 -4.5] 2 d) If -4 2 , find the lo -2 -4] eigenvalue corresponding to the…

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Q: -2 6 -1 .Show that vi = (-1, 1) is an eigenvector of A corresponding to Let A = the eigenvalue 21…

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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: 0 -1 a) Is a = 4 is an eigenvalue of 2 3 1? If so, find corresponding eigenvector. -3 4 5 3.

A: to find the eigenvector corresponding to the eigenvalue=4

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: -8 -3 Let A 6 k For A to have 0 as an eigenvalue, k must be

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

A: As per the guidelines, we will be answering only the first one. We need to check whether λ=4 is an…

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: (2 2 -2 2 If A.x = Ax, where A = 1 3 1 determine the eigenvalues of the 1 2 2 matrix A and an…

A: See the details solution in below

Q: -3 -6 of A coorsponding to the eigenvalue A = 5 -2 2 6. Find a basis for the eigenspace 2 1 -1 -2

A: Solution:

Q: Find the eigenvalues and bases for the eigenspaces of A for -3 -6 -6 A = 3 3 -3 -3 Ο λ 27, λ-27 2 O…

A: Here we have to find the eigenvalues and bases for the eigenspaces of A3 .

Q: 4 1 Let A = |-2 1 0). An eigenvalue of A is 3. Find a basis for the corresponding eigenspace, E3.…

A: Given: Now, let's find the corresponding eigenvector. So,…

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: -2 -X Let A = and one of its eigen values is zero, then a = -6 -31 (a) 1 (b) -1 2 d) -2

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Q: 2 -1 -1 4 -1 1 2 = 1 -1 0 -1 -1 - 0 −1 1 30 020 03 10 0 ㅜㅜㅜ -1 -1 -1 -1 0

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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: -5 -3 - Let A = 3 -9 -2 (a) Find all eigenvalues of A. (b) Find an eigenvector corresponding to each…

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Q: -2 2 8. Let A = 1 -6 Find a basis for the eigenspace corresponding to the eigenvalue A = 5 -1 -2

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Q: -4 -5] Let A = -8 k For A to have 0 as an eigenvalue, k must be

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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 and v2 = -4 -2) - Let A = -4 5. 2 , Vュー Verify that vi and v2 are %3D -2 eigenvectors of A. Then…

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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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Q: 2 -1 2-Given that 2 is an eigenvalue, Find the eigenvalues of matrix A = 2 -1 2.

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Q: 0 0 1 0 1 9. Let A = Find all the eigenvalues and the associated eigenspaces of A. 0 1 -2 0 0 0 1

A: Eigenvalue and eigenvectors.

Q: Q1/ find the Eigen value and Eigen vector for the smallest Eigen value if [2 1 -11 [A] 3 2 -3 L3 1…

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Q: [11-4 For the matrix03 2 Lo0 6 an eigenvector corresponding to the eigenvalue 3 is OA [1 O B.

A: We have to solve given problem:

Q: Find a basis for the eigenspace corresponding to the eigenvalue of A given below. 5 0 A = -1 0 1=4…

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Q: yuestion 2 210 Let A- -1 0 1 13 1 2.1 Find the eigenvalues of A. 2.2 Find bases for the eigenspaces…

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Q: 2 0 0 1 -1 A = Which of the following values is an eigenvalue with a multiplicity stricty bigger…

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Q: -2 -3 Let A = 2 1 Is 3 an eigenvalue of A and if so what is the dimension -6 -1 -2 of its…

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Q: [-7 2 4 Compute the eigenvalues of 0. 1 1 Also find an eigenvector for each eigenvalue. 1 [1 2 3]

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Q: A -5 has two distinct real eigenvalues if and only if k>

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Q: 7 0-3 Is =8 an eigenvalue of 4 7 9 ? If so, find one corresponding eigenvector. -3 2

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