QuestionWrite the system of equations as a vector equation and a matrix equation:
$$\begin{array}{l} 8 x_{1}-x_{2}=10 \\ 2 x_{1}+9 x_{2}=2 \\ 3 x_{1}-x_{2}=1 \end{array}$$

Studdy Solution
Now, let's write the system as a matrix equation. We can do this by putting the coefficients of $x_{1}$ and $x_{2}$ into a matrix, the variables into a vector, and the constants into another vector.
$$\begin{bmatrix}8 & -1 \\2 &9 \\3 & -1 \end{bmatrix} \begin{bmatrix} x_{1} \\ x_{2} \end{bmatrix} = \begin{bmatrix}10 \\2 \\1 \end{bmatrix}$$So, the correct choice for the matrix equation is B. $\begin{bmatrix}8 & -1 \\2 &9 \\3 & -1 \end{bmatrix} \begin{bmatrix} x_{1} \\ x_{2} \end{bmatrix} = \begin{bmatrix}10 \\2 \\1 \end{bmatrix}$