Consider two invertible matrices A and B. Which one of the following is equal to A(AB)^-1B?
a)AB^-1A^-1B
b)I
c)AB/AB
d)1

Question

Consider two invertible matrices A and B. Which one of the following is equal to A(AB)-1B?a)AB-1A-1Bb)Ic)AB/ABd)1

Patrick B. · Accepted Answer

A inverse(AB) B =A inverse(B) inverse(A) B = looks like option A

Consider two invertible matrices A and B. Which one of the following is equal to A(AB)-1B?