nonsingular times singular matrix?

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New member
Hi, i wasnt sure how to show that a nonsingular matrix (nXn matrix) times a singular matrix (nXn matrix) is a singular matrix. (first of all is this right?). if so, how do i show this? i have no idea where to begin.
nvm. i think i figured it out(btw the 1st answerer was wrong(i think)). i said:
(AB)^-1=B^-1*A^-1, and since B^-1 doesnt exist, (AB)^-1 doesnt exist and hence it is singular. (noninvertible). thanks anyway.
 
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