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(25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 2 with = [ and A = 1 with

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(25 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 2 with = [ and A = 1 with = [2]. Write the solution to the linear system = AF in the following forms. A. In eigenvalue/eigenvector form: *-89+8. 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 v or -302. t

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