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

Question:

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