Question

If both a and b are nonsingular, is a b also nonsingular?
1) True
2) False

Answer 1

If both a and b are nonsingular, then a b will also be nonsingular.

Step-by-step explanation:

The correct answer is 1) True.

If both a and b are nonsingular matrices, then the product ab will also be nonsingular.

A nonsingular matrix is one that has an inverse. If both a and b have inverses, then their product ab will also have an inverse, making it nonsingular.