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

Question:

If \(A=\begin{bmatrix}1&2&-3\\ 2&0&-3\\ 1&2&0\end{bmatrix},\) then find \(A^{-1}\) and hence solve the following system of equations: \(x+2y-3z=1\), \(2x-3z=2\), \(x+2y=3\).