Introductory Econometrics 4th Edition by Jeffrey Wooldridge

تمرين 5

Use the definition of inverse to prove the following: if A and B are n x n nonsingular matrices, then (AB) -1 = B -1 A -1.
(ii) If A, B, and C are all n x n nonsingular matrices, find (ABC) -1 in terms of A -1 , B -1 , and C -1.