2 -8 2 2-54 Problem 1. Let A = 2 4-5, (1) Compute the characteristic polynomial of the matrix A. (2) Find the eigenvalue of A and their multiplicities. (3) Is A invertible? Why? Problem 2. Find a basis for each eigenspace of the matrix A of Problem 1

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A: The solution to the given question is explained below.

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A: Required: To identify the similarities and differences between the two distributions.

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