Consider the matrices A= pmatrix 5 & 1 2 & x pmatrix , B= pmatrix x & -1 -2 & 5 pmatrix

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

Problem

Consider the matrices A=(512x),B=(x−1−25).A=\begin{pmatrix}5 & 1\\ 2 & x\end{pmatrix},\quad B=\begin{pmatrix}x & -1\\ -2 & 5\end{pmatrix}. It is given that AB=I2AB=I_2. (i) Determine the value of xx. (ii) Using the value of xx found in part (i), verify that BA=I2BA=I_2 also holds.

Related theory

Browse the problem library