1. The problem statement, all variables and given/known data State whether true or false: If A and B are singular matrices, then AB is also singular. 3. The attempt at a solution I know that according to the Lemma, if A or B is a singular matrix, then its product AB is also singular. However, it doesn't speak to what happens if two both A and B are singular. I have tried examples using a bunch of singular matrices which I made, and all turned out to be singular. However, I can't get rid of this gut feeling that maybe there is an exception to this situation which I just can't put my finger.