The solution to the matrix equation $AX = B$ is:

$X = \begin{bmatrix} -9 \\ 3 \\ 7 \end{bmatrix}$

Would you like a detailed explanation of the solution process or have any additional questions?

Here are 5 related questions to expand on this concept:

1. What is the determinant of matrix $A$, and how does it affect the solution?
2. How would the solution change if matrix $A$ were singular (non-invertible)?
3. Can you find the inverse of matrix $A$, and how would it help solve $AX = B$?
4. What are some practical applications of solving matrix equations in real-world problems?
5. How can this method be extended to larger systems of equations?

Tip: In matrix equations, ensure the matrix $A$ is non-singular (invertible) to guarantee a unique solution for $X$.