If \(X=\left[\begin{matrix}x \\ y \\ z\end{matrix}\right]\) is a solution of the system of equation \(AX=B,\) where \(ad…

If \(X=\left[\begin{matrix}x \\ y \\ z\end{matrix}\right]\) is a solution of the system of equation \(AX=B,\) where \(adjA=\left[\begin{matrix}4 & 2 & 2 \\ −5 & 0 & 5 \\ 1 & −2 & 3\end{matrix}\right]\) and \(B=\left[\begin{matrix}4 \\ 0 \\ 2\end{matrix}\right],\) then \(\left|x+y+z\right|\) is equal to:

[JEE Main 2026, 22 Jan (Shift 2)]