Matrices & Determinants · Adjoint and inverse of matrix

X = \begin{bmatrix} x\\ y\\ z\end{bmatrix}

is a solution of the system of equations

AX = B

, where

\operatorname{adj} A = \begin{bmatrix} 4 & 2 & 2\\ -5 & 0 & 5\\ 1 & -2 & 3\end{bmatrix} \quad\text{and}\quad B = \begin{bmatrix} 4\\ 0\\ 2\end{bmatrix},

then

\lvert x + y + z\rvert

is equal to:

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