Give examples of A and B such that (a) A+B is not invertible although A and B are

Chapter 1, Problem 1.6.11

(choose chapter or problem)

Give examples of A and B such that (a) A+B is not invertible although A and B are invertible. (b) A+B is invertible although A and B are not invertible. (c) all of A, B, and A+B are invertible. (d) In the last case use A 1 (A+B)B 1 = B 1 +A 1 to show that C = B 1 +A 1 is also invertibleand find a formula for C 1

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