Level:
Project ID:
1003060503
Accepted:
1
Clonable:
0
Easy:
0
The system of equations is given by:
\[ \begin{aligned}
x-y-z&=0, \\
2x-y+3z&=1, \\
-3x+2y+z&=2.
\end{aligned} \]
To which of the following systems is it equivalent? (Note: An algorithm for solving a system of linear equations by transformation the system into this form (row echelon form) is known as Gaussian elimination or as row reduction.)
\( \begin{aligned}
x-y-z&=0 \\
y+5z&=1 \\
3z&=3
\end{aligned} \)
\( \begin{aligned}
x-y-z&=0 \\
y+5z&=-1 \\
3z&=-1
\end{aligned} \)
\( \begin{aligned}
x-y-z&=0 \\
-3y-z&=-1 \\
5z&=5
\end{aligned} \)
\( \begin{aligned}
x-y-z&=0 \\
-3y-z&=-1 \\
5z&=-7
\end{aligned} \)