If A + B is also invertible, then show that A^-1 + B^-1 is also invertible by finding a formula for it.
Hint: Consider A^-1(A+B)B^-1 and use Theorem 1.39.
Theorem 1.39
If A and B are invertible nxn matrices, then AB is invertible and (AB)^−1 = (B^-1)(A^-1)

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