8. Let 1 A = 4 -1 (a) Find the eigenvalues and the corresponding eigenvectors of A. (b) Is A diagonalizable? If so, find a diagonalization of A.

Q: Find an eigenvector corresponding to the eigenvalue 2 of the natrix 24

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Q: 14. Find a 3 x 3 matrix A that has eigenvalues A = 27, 45, and -9 with corresponding %3D…

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Q: 1 If A = has eigenvalues =2 and A =-2, then z= Number

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Q: Suppose that a 2 × 2 matrix A has an eigenvalue 3 with corresponding eigenvector and an eigenvalue 1…

A: Diagonalizability

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Q: then the eigenvalue corresponding to the eigenvector v is

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A: Yes it is an eigen vector.

Q: 1 Show that if 2 is an eigenvalue of A, then - is an eigenvalue of A-1.

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Q: Find the dimension of the eigenspace corresponding to the eigenvalue 1 = -3. -3 0 -3 1 0 -3

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

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

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Q: 2.

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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: 5. Find the eigenvalues and the associated eigenvectors of the matrix 1 C = -1 1 -2 -1 1 -

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Q: 1 4 - Suppose the matrix, A, has eigenvectors and -8 whose eigenvalues are 4, – 4 and - -6 1 3…

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Q: 1. Suppose x is an eigenvector of A corresponding to an eigenvalue 1. Show that x is an eigenvector…

A: Since you have asked multiple questions, we will solve the first question only. If you want any…

Q: Find the eigenvector for the positive 4 8. eigenvalue of the matrix 1 -3

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Q: Find the eigenvalues and corresponding eigenvectors of A = 0 1 -1 0 2 4

A: Find the eigenvalues and eigenvectors of  A=21001-1024 Start from forming a new matrix by…

Q: 2.- a) find eigenvalue/eigenvalues and the corresponding eigenvector/eigenvectors of A. A- () 5

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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: 3) Is it true that an eigenvector of A is also an eigenvalue of A² for a square matrix A?

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

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Q: Find the dimension of the eigenspace corresponding to the eigenvalue i = -5. %3D -5 0 -5 0 -5

A: Please refer the attached image for complete solution. THANK YOU.

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) Let A is 2 x2 matrix with 4 and -3 eigenvalues and suppose that is an eigenvector for the value 4…

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Q: 2 1 Suppose that A = i). Find the eigenvectors of A Eigenvector with respect to the smallest…

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Q: [1 0 1 Lo 1

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Q: Given that the matrix A has eigenvalues A1 = -5 with corresponding eigenvector v = and A2 -3 with…

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Q: Suppose that A = a= b [0 a has eigenvalues -3 and 3. What are the values of a and b?

A: We have A=0a1b We find the eigen value by putting A-λI=0 Here, I=1001 Consider:…

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

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Q: 4 -1 .Verify that 5 is an eigenvalue of A and v is an eigenvector. Then 4 -1 -1 -1 4 orthogo¬nally…

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Q: 8. Find the eigenvalue for the matrix 2 0 1 B = 6 4 -3 2 0 Hence, find the eigenvector for the…

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

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Q: 9. Let A= a c+b] -a c-b Under what condition will these eigenvalues be real numbers?

A: Here we have to determine the condition that eigenvalues be real numbers. We have, A=ac+bc-b-a

Q: 13 Find the eigenvalue and eigenvectors of A = 5. 4

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Q: Show that if T : Rº → Rº has 6 distinct eigenvalues and S has the same eigenvectors as T, then ST =…

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Q: 20. Is [267] -2 an eigenvector of 3 2 7? If so, find the eigenvalue. 564

A: The solution for the asked question is given as

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

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Q: Let A be 3x3 and its eigenvalues are 1, 2, -3. Then the eigenvalues of A- are ue trace of A²-2I is…

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Q: Suppose A is an eigenvalue of a square matrix A with eigenvector x # 0. Show that 3 is an eigenvalue…

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Q: 4. Find the eigenvalue and eigenvector of the matrix: 20 -2 0 4 -2 0 O 5.

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Q: If A3=A,what are the possible eigenvalues ofA .

A: If A3=A, what are the possible eigenvalues of A.

Q: snip

A: Given matrix, A=3113 And given eigen vector is x=11

Q: 3 -2 -2 5] 3.

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