The image provides a system of equations solved using matrix operations. Here's a breakdown of the solution:

Key elements from the image:

• Inverse Matrix Calculation: The matrix $A^{-1}$ is given as: \begin{pmatrix} -18 & 6 & 4 \\ 13 & -8 & -9 \\ 1 & -4 & 1 \end{pmatrix}$$
• Vector $B$: \begin{pmatrix} 2 \\ -7 \\ 14 \end{pmatrix}$$
• Solution for $X$: Using the inverse matrix formula $X = A^{-1} \cdot B$: \begin{pmatrix} -18 & 6 & 4 \\ 13 & -8 & -9 \\ 1 & -4 & 1 \end{pmatrix} \cdot \begin{pmatrix} 2 \\ -7 \\ 14 \end{pmatrix}$$

Matrix Multiplication Steps:

1. First row: $(-18 \cdot 2) + (6 \cdot -7) + (4 \cdot 14) = -36 - 42 + 56 = -22$

2. Second row: $(13 \cdot 2) + (-8 \cdot -7) + (-9 \cdot 14) = 26 + 56 - 126 = -44$

3. Third row: $(1 \cdot 2) + (-4 \cdot -7) + (1 \cdot 14) = 2 + 28 + 14 = 44$

Thus, after multiplication: