Question: consider a LTV system x dot (t) = A(t)x(t) where x(t) elementof R^2 and A(t) = [-2 -6t 4 + 8t -1 -2t 2 +

consider a LTV system x dot (t) = A(t)x(t) where x(t) elementof R^2 and A(t) = [-2 -6t 4 + 8t -1 -2t 2 + 2t] = [-2 4 -1 2] + 2t. [-3 4 -1 1], forall t greaterthanorequalto 0. Note that A_1 is the exact same state dynamics matrix in Problem 3 (hence A^2_1 = 0) and A_2 = A_1 - I. Find the fundamental matrix phi(t), namely, the state transition matrix phi(t, 0), of the system
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