Question: Given two matrices A, B C mm and suppose A, B and C = A + B are nonsingular matrices (invertible). Show that matrix D

Given two matrices A, B C ^mm and suppose A, B and C = A + B are nonsingular matrices (invertible). Show that matrix D = A ¹ + B ¹is also invertible. hint: consider D = A ¹(B + A)B ¹.

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