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
ANSWERED 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.

$$\begin{bmatrix}1 & -2&0 & -4 \\0 & 0&1 & 3\\0 & 0&0 & 0 \end{bmatrix}$$ 2021-06-05

$$x_1-2x_2=4$$
$$x_3=3$$
$$0=0$$
$$x_1=4+2x_2$$
$$x_2$$, free
$$x_3=3$$
$$x_1=4+2t$$
$$x_2=t$$
$$x_3=3$$
$$x=\begin{bmatrix}4 \\0\\3 \end{bmatrix}+t\begin{bmatrix}2 \\1\\0 \end{bmatrix}$$
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