# Math Help - Prove Invertible

1. ## Prove Invertible

I don't get it. The question is to. . .

Prove that if A, B, and C are invertible n x n matrices, then ABC is invertible and (ABC)^-1 = C^-1*B^-1*A^-1

TIA!!!

2. Originally Posted by TreeMoney
I don't get it. The question is to. . .

Prove that if A, B, and C are invertible n x n matrices, then ABC is invertible and (ABC)^-1 = C^-1*B^-1*A^-1

TIA!!!
Why not just show that:

(C^-1 B^-1 A^-1)(ABC) = I

RonL