Let and . Show that and hence conclude that is the inverse of…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Let

A=\begin{pmatrix}1 & 0 & 0\\ 2 & 1 & 0\\ 3 & 4 & 1\end{pmatrix}

and

B=\begin{pmatrix}1 & 0 & 0\\ -2 & 1 & 0\\ 5 & -4 & 1\end{pmatrix}

. Show that

AB=I_3

and hence conclude that

B

is the inverse of

A