Question: Linear algebra: A 'state space' model of a system consists of a difference equation Xk+1 = Axx + Buk, k = 1,2,3,..., where A

Linear algebra: A 'state space' model of a system consists of a difference equation Xk+1 = Axx + Buk, k = 1,2,3,..., where A is an n x n matrix and B is an n x m matrix, {xk}) is a sequence of state vectors, (uk) is a sequence of control vectors. Consider the matrices: - [$ the initial state vector -[2], A = x1 = 5 -3 3 B = 14k = 1 2 -1 3 and the control vectors -[8 ] 0,1k 0,3k Calculate x2, x3, x4, k = 2, 3, 4

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