Question

# 3,645 rolls of landscape fabric are manufactured during one day. After being inspected, 121 of these rolls are rejected as imperfect. What percent of

Vectors and spaces

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.

$$\begin{bmatrix}1 & -4&5 \\0 & 0&0 \\0 & 0&0 \\ \end{bmatrix}$$

2021-05-26

$$x_1-4x_2=5$$
$$0=0$$
$$x_1=5+4x_2$$
$$x_2$$, free
$$x_1=5+4t$$
$$x_2=t$$
$$x=\begin{bmatrix}5\\0\end{bmatrix}+t \begin{bmatrix}4 \\1 \end{bmatrix}$$