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Homework 4: Problem 5 Previous Problem Problem List Next Problem (25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A

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Homework 4: Problem 5 Previous Problem Problem List Next Problem (25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 4 and 4 with = [] 2 = 3 with = [3] Write the solution to the linear system = A in the following forms. A. In eigenvalue/eigenvector form: [x(t)] C1 B. In fundamental matrix form: = C. As two equations: (write "c1" and "c2" for c and c) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4 or -32.

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