Exercise 14 Page 202

We want to determine if M and N are inverse matrices. M= [ cc 0 & 2 4 & 5 ] N= [ cc 1 & 1 0 & 0 ]Two matrices are inverses of each other if their product is the identity matrix. MatricesA andB are inverses ⇕ A * B = B * A = I, where I= [ cc 1 & 0 0 & 1 ] Recall that the Commutative Property of Multiplication does not hold for matrices. Therefore, for M and N to be inverses, both M* N and N* M have to equal the identity matrix. Let's start by calculating M* N.

Since M* N ≠ I, we do not need to check if N* M is equal to I. We already know that matrices M and N are not inverses.