Question: Linear Algebra Question. Please show all the steps. 3. (State transition matrix) Consider 5: = A(t)x(t) + B(t)u(t) where A(t) = [3 :1, 30') =

Linear Algebra Question.

Please show all the steps.

3. (State transition matrix) Consider 5: = A(t)x(t) + B(t)u(t) where A(t) = [3 :1, 30') = if]. (3) Determine the state transition matrix (MUD) for the system. (b) Let y = [l 0]x. Compute the system output when u(t) = l for all t 2 0 and arbitrary initial condition x(0) = [x1(0) x2(0)]T

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