If A= pmatrix 2 & x 1 & 3 pmatrix , B= pmatrix 3 & -x -1 & 2 pmatrix and

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A=\begin{pmatrix}2 & x\\ 1 & 3\end{pmatrix},\quad B=\begin{pmatrix}3 & -x\\ -1 & 2\end{pmatrix}

and

AB=I_2

, determine the value of

x