Mathematics - Matrices Question with Solution | TestHub

Compute ${\mathrm{A}}^{-1}$. If $\mathrm{A}=\left[\begin{array}{ccc}3& -2& 3\\ 2& 1& -1\\ 4& -3& 2\end{array}\right]$. Hence, solve the system of equations:

$$\left[\begin{array}{ccc}3& 0& 3\\ 2& 1& 0\\ 4& 0& 2\end{array}\right]\left[\begin{array}{c}x\\ y\\ z\end{array}\right]=\left[\begin{array}{c}8\\ 1\\ 4\end{array}\right]+\left[\begin{array}{c}2yz\\ 3y\\ 0\end{array}\right]$$