Question: (5 points) Solve the following initial value problem: X' = AX, x(0) = , Where 1 0 0 0 IN 0 0 A = 0

(5 points) Solve the following initial value problem: X' = AX, x(0) = , Where 1 0 0 0 IN 0 0 A = 0 3 3 0 0 4 You can use the fact that A has the following eigenvalues with the following given (linearly inde- pendent!) eigenvectors: 1 = 1 with VI = AUNT 1 = 2 with V2 = ALOOauto 2 = 3 with V3 = 1 = 4 with V4 =

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