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

Q: Verify Cayley-Hamilton theorem for the matrix A = and find its inverse. Also express A - 4A" 2 3 -…

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Q: A = 2

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Q: The characteristic polynomial of the matrix A= 1 4 -1 is (A-2)(X - 5)². -1 -1 4 a) Find the…

A: As per your request I have solved first subpart.

Q: 3. The characteristic polynomial of the matrix A = -1 4 -1 4 -1 -1 is (A − 2)(X - 5)². a) Find the…

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Q: 8. Compute the characteristic polynomial of A, the eigenvalues of A, and the basis for each…

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Q: ind a basis for the A = 3 eigenspace of 6 6 A -1 1 -2 4 7

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Q: If AB = BA, prove that A and B have a common eigenvector.

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Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. 11…

A: As per guidlines only first three subquestions are solved, for remaining solution of kindly repost…

Q: Find the eigenvalues of A= [1,2,0],[1,2,-1],[0,0,4]

A: First of all, Kindly check that your given matrix is a square matrix (meaning, it has equal number…

Q: Find all of the eigenvalues of the matrix A over the complex numbers C. Give bases for each of the…

A: The answer is given below.Explanation:

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: 3. The characteristic polynomial of the matrix A = -1 4 -1 4 -1 is (A-2)(X - 5)². a) Find the…

A: Dear students as per our guidelines we can solve only first 3 questions. So kindly resubmit…