QuestionFind the general solution for the system with the matrix:
$$\left[\begin{array}{rrrr} 1 & 1 & 0 & -7 \\ 2 & 1 & 0 & -16 \end{array}\right]$$
Select A, B, C, or D.

Studdy Solution
We have now obtained the following system of equations$$\begin{cases} x_{1} = -9 \\ x_{2} =2 \\ x_{3} \text{ is free} \end{cases}$$This is the general solution of the system. Therefore, the correct choice is B.
$$\left\{\begin{array}{l} x_{1}=-9 \\ x_{2}=2 \\ x_{3} \text { is free } \end{array}\right.$$