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Here is the answer. Could you please show the whole process
91. A linear time-invariant discrete-time system is given by the state-space model [0.5 1 = [x₂[n+1] X₂ [1 [yi[n] 2 (a) Compute x[1], x[2] and x[3] when x[0] = [11] and v[n] = [nn]¹. (b) Suppose x[0] = [0 0]7. Find an input sequence v[0], v[1] that will drive the system state to x[2] = [-12]. (c) Suppose x[0] = [1 -2]. Find an input sequence v[0], v[1] that will drive the system state to x[2] = [00]¹.
-1.5 9 91. . (@) x[1] = [ - 3 ] ×[2] = [ 4.5 ], x(3) = [-10.5 ]· -3 0 (b) v[0] = [8], [¹] = [3²] is one possible solution. 0 0 0 (c) v[0] = [], [1] = %] is is one possible solution. 0 -6