Question: please help me do this question, thank you very much ........... 1. Consider a linear system :ic(t) = Ax(t),y(t) = 0:6) with matrices A 6

please help me do this question, thank you very much ...........

1. Consider a linear system :ic(t) = Ax(t),y(t) = 0:6\") with matrices A 6 RM\" and C 6 RM\". Let T > 0, and introduce the operator 3%" 3 Rn _> L2([0:T]2Rk)a A(-) $0 I> 06 $0, i.e. (i'met) = CeAtzco. Given an output trajectory y : [0,T] > R'\" of the linear system, use a Hilbert space approach to nd the least-squares solution that minimizes the cost functional J(3:0) = \"32me y||i2([0,T],R')'

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