Question: Please answer the answer below (9 points) 38 18 a. The matrix has eigenvalues 1 = 2 and 12 = -7. Find eigenvectors corresponding to

Please answer the answer below

(9 points) 38 18 a. The matrix has eigenvalues 1 = 2 and 12 = -7. Find eigenvectors corresponding to these -90 -43 eigenvalues. 1 1 01 = and v2 = -2 -1 x = 38x + 18y b. Find the solution to the linear system of differential equations satisfying the initial conditions = -90x - 43y x(0) = 5 and y(0) = -11. x(t) = y(t) =

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