Verify that the matrices and are inverses of each other by direct multiplication.

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Verify that the matrices

A=\begin{pmatrix}1 & 2\\ 3 & 7\end{pmatrix}

and

B=\begin{pmatrix}7 & -2\\ -3 & 1\end{pmatrix}

are inverses of each other by direct multiplication. (i) Calculate

AB

. (ii) Calculate

BA