(a) Show that if A, B, and A + B are invertible matrices with the same size, then A(A1 +

Chapter 1, Problem 45

(choose chapter or problem)

(a) Show that if A, B, and A + B are invertible matrices with the same size, then A(A1 + B1 )B(A + B)1 = I (b) What does the result in part (a) tell you about the matrix A1 + B1?

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