For (a) and (b), 2 [A]= -1 2 (a) What are the eigenvalues of A? (b) For each eigenvalue, find a nonzero eigenvector.

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A: Here we have to verify that λi  is an eigenvalue of A and that xi is a corresponding eigenvector .

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Q: Let A ∈ Mn × n (R) such that A3 = In × n and A≠In × n  What are the eigenvalues of A?

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Q: Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. 2, = 5, x, = (1, 2,…

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Q: Verify that 1, is an eigenvalue of A and that x, is a corresponding eigenvector. 2 = -11, x, = (1,…

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Q: Let A = 4 2 07 020 0 1 4 (a) Write down char(A) and use it to find the eigenvalues of A. (b) Find…

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