Consider the matrices and

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Consider the matrices

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

and

C=\begin{pmatrix}1 & -2 & 6\\ 0 & 1 & -3\\ 0 & 0 & 1\end{pmatrix}

. Show that

AC=CA=I_3