Section 1.2 Reduced row echelon form
Exercise: Find the reduced row echelon form of the matrices \(A=\begin{pmatrix}
0 \amp 2 \amp -8 \amp 8 \\
1 \amp -2 \amp 1 \amp 0 \\
5 \amp 0 \amp -5 \amp 10
\end{pmatrix}\) and \(B=\begin{pmatrix}
0 \amp 3 \amp -6 \amp 6 \amp 4 \amp -5 \\
3 \amp -7 \amp 8 \amp -5 \amp 8 \amp 9 \\
3 \amp -9 \amp 12 \amp -9 \amp 6 \amp 15
\end{pmatrix}\text{,}\) respectively.
The matrix \(C\) can be interpreted as
\begin{align*}
x_1\amp=1\\
x_2\amp=0\\
x_3\amp=-1
\end{align*}
Input the matrix \(B\) below, and find the reduced echelon form of \(B\text{.}\) In next section, we will find the general solution of a linear system whose augmented matrix is \(B\)
