The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
-$$\left[ \begin{array} { l l l | r }
1 & 0 & 0 & 3 \
0 & 1 & 0 & - 14 \
0 & 0 & 1 & 1
\end{array} \right]$$
A) $x = 3 , y = - 14 , z = - 1$
B) $x = 3 , y = - 14 , z = 1$
C) $x = - 3 , y = - 14 , z = - 1$
D) $x = - 3 , y = - 14 , z = 1$

Question

The matrix associated with the solution to a system of linear equations in x, y, and z is given. Write the solution to the
system, if it exists.
-$$\left[ \begin{array} { l l l | r } 
1 & 0 & 0 & 3 \
0 & 1 & 0 & - 14 \
0 & 0 & 1 & 1
\end{array} \right]$$
A) $x = 3 , y = - 14 , z = - 1$
B) $x = 3 , y = - 14 , z = 1$
C) $x = - 3 , y = - 14 , z = - 1$
D) $x = - 3 , y = - 14 , z = 1$

Quizplus · Accepted Answer

The given matrix is in reduced row echelon form, directly indicating the solutions for $x$, $y$, and $z$ as $x = 3$, $y = -14$, and $z = 1$.

The Matrix Associated with the Solution to a System of Linear