1. The problem is to express a system or equation in matrix form for clarity and better visualization. 2. Matrix form typically involves writing the system as $AX = B$, where $A$ is the coefficient matrix, $X$ is the variable matrix (column vector), and $B$ is the constants matrix (column vector). 3. For example, if the system is: $$\begin{cases} 2x + 3y = 5 \\ 4x - y = 1 \end{cases}$$ 4. The coefficient matrix $A$ is: $$A = \begin{bmatrix} 2 & 3 \\ 4 & -1 \end{bmatrix}$$ 5. The variable matrix $X$ is: $$X = \begin{bmatrix} x \\ y \end{bmatrix}$$ 6. The constants matrix $B$ is: $$B = \begin{bmatrix} 5 \\ 1 \end{bmatrix}$$ 7. Thus, the matrix form is: $$\begin{bmatrix} 2 & 3 \\ 4 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 5 \\ 1 \end{bmatrix}$$ This form clearly shows the system and is useful for solving using matrix methods like inverse or row reduction.