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Given system of equation: x '1= 5x1 x2, x' 2 = 2x1 + 2x2. (a) Rewrite the system in matrix form: x' = Ax. (b)

Given system of equation: x '1= 5x1 x2, x' 2 = 2x1 + 2x2.

(a) Rewrite the system in matrix form: x' = Ax.

(b) Find the eigenvalues and eigenvectors of matrix A.

(c) Give the solution to the system.

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