Problem 3a -- Formula correction
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The formula given in problem 3a is incorrect. It should be be replaced with:
y_k = C A^k x_0 + \sum_{i=0}^{k-1} C A^i B u_{k-1-i} + D u_k
The formula given in problem 3a is incorrect. It should be be replaced with:
y_k = C A^k x_0 + \sum_{i=0}^{k-1} C A^i B u_{k-1-i} + D u_k