Question: Problem 4. (25 pts) Given that A, B, C are all square matrices of the same size, matrices A and C are both orthonormal, and

Problem 4. (25 pts) Given that A, B, C are all

Problem 4. (25 pts) Given that A, B, C are all square matrices of the same size, matrices A and C are both orthonormal, and ACT = B, prove that: (A - BC)(A - BC)" = 1 -B"B where I is the identity matrix. The first step is done for you: (A - BC)(A-BC)" (A-BC)(A" - C"B") Distributive Property (Transpose) and Transpose of a Matrix Product

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