Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a) = x3. 7 X(0) = 3 - 1 3 x' = x, f(t) = - 3 - 2 ..... Find the projection matrix(matrices) for A. 1 0 The projection matrix(matrices) is/are 0 1 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. 1+ 3t - t e At - 9t 1-3t Find the particular solution to the initial value problem. X(t) =

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