ID: Class: 12 Subject: Math Topic: Matrices and Determinants Type: Long (LA) Year: 2025

Question:

Given \(A=\begin{bmatrix}-4&4&4\\ -7&1&3\\ 5&-3&-1\end{bmatrix}\) and \(B=\begin{bmatrix}1&-1&1\\ 1&-2&-2\\ 2&1&3\end{bmatrix},\) find \(AB\). Hence, solve the system of linear equations: \(x-y+z=4\), \(x-2y-2z=9\), \(2x+y+3z=1\).