ID: Class: 12 Subject: Math Topic: Matrices and Determinants Type: Long (LA) Year: 2024

Question:

If \(A=\begin{bmatrix}1&-2&0\\ 2&-1&-1\\ 0&-2&1\end{bmatrix},\) find \(A^{-1}\) and use it to solve the following system of equations: \(x-2y=10\), \(2x-y-z=8\), \(-2y+z=7\).