QuestionExpress the following set of linear equations in matrix form: $$\begin{aligned} 2 x_{1}+4 x_{2}-5 x_{3} & =-7 \\ x_{1}-3 x_{2}+x_{3} & =10 \\ 3 x_{1}+5 x_{2}+3 x_{3} & =2 \end{aligned}$$

Studdy Solution
Combine the coefficient matrix, variable vector, and constant vector to express the system in matrix form:
$\begin{bmatrix} 2 & 4 & -5 \\ 1 & -3 & 1 \\ 3 & 5 & 3 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} -7 \\ 10 \\ 2 \end{bmatrix}$