a. Prove that x(k) xT k x(0) x and x(k) x T k 1 T x(1) x(0) , where T is an n n matrix
Chapter 7, Problem 7.3.21(choose chapter or problem)
a. Prove that x(k) xT k x(0) x and x(k) x T k 1 T x(1) x(0) , where T is an n n matrix with T < 1 and x(k) = T x(k1) + c, k = 1, 2,... , with x(0) arbitrary, c Rn , and x = T x + c. b. Apply the bounds to Exercise 1, when possible, using the l norm.
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