Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax+ f(t), x(a) = xa. 7 [3] x' = 5 - 1 25 -5 At- |x, f(t) = Find the projection matrix(matrices) for A. 1 + 5t [3] 8 The projection matrix(matrices) is/are 10 01 (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.) Find the matrix exponential. x(0) = -t 25t 1-5t Find the particular solution to the initial value problem. x(t) = ...

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