3 0 0 The characteristic polynomial of the matrix A = -1 1 1 0 0 3 | PA(x) = det(A – cI3) = (x – 3)°(1 – x). (a) Give the eigenvalues of A and determine the eigenspace associated with each eigenvalue. (b) Find a nonsingular matrix P and a diagonal matrix D such that P-'AP = D.

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A: Solution :-

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A: The solution of the problem is given in the next step.

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A: Given         A=123231312q0=100First ItterationAq0=123231312100=123and by scaling we obtain the…

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A: Given: The matrix is A=123231312 and the initial vector is q0=100T or  q0=100. To find: The…

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A: Solution of question as follow

Q: Using 4 steps of the Power method, with q, = (1,0,0), find an approximation to the largest…

A: Given : A=123231312     q0=1 , 0 , 0T To Find : Largest  Eigen value by power method

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A: Explanation of the answer is as follows

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A: Given     Matrix is given

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A: Solution:-

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Q: I the characteristic polynomial and the eigenvalues of the matrix. - 9 - 3 6 -6

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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.

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Q: Matrix A has the eigenvalue 2 = 5 and eigenvector v. Find generalized eigenvector. 7 0] 4 1,1 = 5, v…

A: The required generalized eigenvector is given by solving system of linear equations as follows