Determine whether the matrices are inverses:?

Question

[ 5 3 ] , [ 2 -3 ]
3 2 , -3 5

Answer 1

A matrix P is the inverse of matrix Q if PQ = I where I is the identity matrix with 1s on the diagonal and zeros everywhere else.

By multiplying out the matrices:

[1 0]
[0 1]

So the matrices are inverses.