Final answer:
To determine whether two matrices are inverses of each other, we need to compute their product and check if it equals the identity matrix.
Step-by-step explanation:
To determine whether two matrices are inverses of each other, we need to compute their product. Let's say we have two matrices A and B. If AB = BA = I, where I is the identity matrix, then A and B are inverses of each other.
For example, if A = [[1, 2], [3, 4]] and B = [[-2, 1], [1.5, -0.5]], we can compute AB and BA. If both products give us the identity matrix, then these matrices are inverses of each other.
In this case, AB = [[1, 0], [0, 1]] = BA, which is the identity matrix. Hence, matrices A and B are inverses of each other.