3. Suppose that A is an n x n matrix. a. Suppose that A? = AA is invertible with inverse B. This means that BA? = BAA = I. Explain why A must be invertible with inverse BA. b. Suppose that A100 is invertible with inverse B. Explain why A is invertible. What is A-1 in terms of A and B?
3. Suppose that A is an n x n matrix. a. Suppose that A? = AA is invertible with inverse B. This means that BA? = BAA = I. Explain why A must be invertible with inverse BA. b. Suppose that A100 is invertible with inverse B. Explain why A is invertible. What is A-1 in terms of A and B?
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 5SE: Can a matrix with zeros on the diagonal have an inverse? If so, find an example. If not, prove why...
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