Given and , determine the values of and so that and are mutual inverses, and verify…

MATHEMATICS · Multi-part · CBSE · Mathematics · Matrices · Matrices

Problem

Given

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

and

B=\begin{pmatrix}p & -3\\ q & 2\end{pmatrix}

, determine the values of

p

and

q

so that

A

and

B

are mutual inverses, and verify your result. (i) Find

p

and

q

such that

AB=I_2

. (ii) Using the values of

p

and

q

, show that

BA=I_2