Determine whether the given system of equations has no solution:
(b)
\[
\left[\begin{array}{ccc:c}
1 & 0 & 0 & -3 \\
0 & 1 & 0 & -1 \\
0 & 0 & 1 & 2
\end{array}\right]
\]
The system has no solution.
The system has a unique solution.
\[
(x, y, z)=(\square, \square, \square)
\]
The system has infinitely many solution
\[
\begin{array}{l}
(x, y, z)=(x, \square, \square) \\
(x, y, z)=(\square, y, \square) \\
(x, y, z)=(\square, \square, z)
\end{array}
\]
Answer
Final Answer: The system has a unique solution, \[\boxed{(x, y, z)=(-3, -1, 2)}\]
Step 1 ：Determine whether the given system of equations has no solution: \n\[\left[\begin{array}{ccc:c}1 & 0 & 0 & -3 \0 & 1 & 0 & -1 \0 & 0 & 1 & 2\end{array}\right]\
Step 2 ：The system has a unique solution.
Step 3 ：The solution is \[(x, y, z)=(-3, -1, 2)\]
Step 4 ：Final Answer: The system has a unique solution, \[\boxed{(x, y, z)=(-3, -1, 2)}\]
