Question

# The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is co

Forms of linear equations

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

$$\begin{bmatrix}1 & 0&-6 \\1 & 1&3\\ 0 & 0&0\end{bmatrix}$$

2021-05-12

$$x_1=-6$$
$$x_2=3$$
$$0=0$$
$$x_1=-6$$
$$x_2=3$$
$$x=\begin{bmatrix}-6 \\3\end{bmatrix}$$