The following statements are needed to prove Theorem 6.12. a. Show that if A1 exists, it

Chapter 6, Problem 9

(choose chapter or problem)

The following statements are needed to prove Theorem 6.12. a. Show that if A1 exists, it is unique. b. Show that if A is nonsingular, then (A1)1 = A. c. Show that if A and B are nonsingular nn matrices, then (AB)1 = B1A1.

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