Question

If \(A\) and \(B\) are non-singular square matrices of the same order, which condition means that \(A\) and \(B\) are inverses of each other?

Options

• \[A-B=O\]

• \[AB=BA=I\]

• \[A+B=I\]

• \[AB=BA=O\]

Answer 1

Two non-singular square matrices of the same order are inverses when both products equal the identity matrix. Thus, \[AB=BA=I\] is required.