Let \(M\) be a \(3 \times 3\) matrix such that \(\mathrm{M}\left(\begin{matrix}1 \\ 0 \\ 0\end{matrix}\right)=\left(\beg…

Let \(M\) be a \(3 \times 3\) matrix such that \(\mathrm{M}\left(\begin{matrix}1 \\ 0 \\ 0\end{matrix}\right)=\left(\begin{matrix}1 \\ 2 \\ 3\end{matrix}\right),\mathrm{M}\left(\begin{matrix}0 \\ 1 \\ 0\end{matrix}\right)=\left(\begin{matrix}0 \\ 1 \\ 2\end{matrix}\right)\) and \(\mathrm{M}\left(\begin{matrix}0 \\ 0 \\ 1\end{matrix}\right)=\left(\begin{matrix}-1 \\ 1 \\ 1\end{matrix}\right).\text{ If }\mathrm{M}\left(\begin{matrix}x \\ y \\ z\end{matrix}\right)=\left(\begin{matrix}1 \\ 7 \\ 11\end{matrix}\right)\), then \(x+y+z\) equals:

[JEE Main 2026, 5 Apr (Shift 2)]