Can you guys explain whether or not my proof would be sufficient. My thought process was to start with the definition.
So if A is nonsingular is means that A has an inverse such that
A=A-. I used that same thinking for B. B=B-
Then using the question which states. IF A and B are nonsingular nxn matrices then AB is also nonsingular and (AB)-=A-B-
I thought it would be easier to prove the right side so I started with AB=A-B-
and used the relationship A=A- and B=B- to show that both sides are equal. However I found the proof online, and they did something slightly different.
Am I incorrect, if so where did I go wrong in my thinking?
The Attempt at a Solution
Last edited by a moderator: