1. The problem is to express a system or equation in matrix form. 2. Matrix form typically means writing a system of linear equations as $AX = B$, where $A$ is the coefficient matrix, $X$ is the column vector of variables, and $B$ is the constants vector. 3. For example, if you have the system: $$\begin{cases} 2x + 3y = 5 \\ 4x - y = 1 \end{cases}$$ 4. The coefficient matrix $A$ is: $$A = \begin{bmatrix} 2 & 3 \\ 4 & -1 \end{bmatrix}$$ 5. The variable vector $X$ is: $$X = \begin{bmatrix} x \\ y \end{bmatrix}$$ 6. The constants vector $B$ is: $$B = \begin{bmatrix} 5 \\ 1 \end{bmatrix}$$ 7. So the matrix form is: $$AX = B$$ $$\begin{bmatrix} 2 & 3 \\ 4 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 5 \\ 1 \end{bmatrix}$$ 8. This form is useful for solving systems using matrix operations like inverse or row reduction.