Perform the indicated row operations on the matrix. Show the final result.
$$\left[ \begin{array} { c c c }
1 & - 2 & - 3 \
2 & - 3 & - 1 \
1 & - 8 & - 33
\end{array} \right]$$
Add $- 2$ times $R _ { 1 }$ to $R _ { 2 }$.
Add $- 1$ times $R _ { 1 }$ to $R _ { 3 }$.
A)
$\left[ \begin{array} { c c c }
1 & - 9 & - 36 \
2 & - 3 & - 1 \
1 & - 8 & - 33
\end{array} \right]$
B)
$\left[ \begin{array} { c c c }
1 & - 2 & - 3 \
0 & 1 & - 4 \
0 & - 10 & - 36
\end{array} \right]$

C)
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \ 0 & 1 & 5 \ 0 & - 6 & - 30 \end{array} \right]$

D)
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \ - 3 & 4 & - 1 \ 0 & 6 & 30 \end{array} \right]$

E)
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \ 0 & - 1 & 2 \ 0 & - 4 & - 29 \end{array} \right]$

Question

Perform the indicated row operations on the matrix. Show the final result.
$$\left[ \begin{array} { c c c } 
1 & - 2 & - 3 \
2 & - 3 & - 1 \
1 & - 8 & - 33
\end{array} \right]$$
Add $- 2$ times $R _ { 1 }$ to $R _ { 2 }$.
Add $- 1$ times $R _ { 1 }$ to $R _ { 3 }$.
A)
$\left[ \begin{array} { c c c } 
1 & - 9 & - 36 \
2 & - 3 & - 1 \
1 & - 8 & - 33
\end{array} \right]$
B)
$\left[ \begin{array} { c c c } 
1 & - 2 & - 3 \
0 & 1 & - 4 \
0 & - 10 & - 36
\end{array} \right]$

C)
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \ 0 & 1 & 5 \ 0 & - 6 & - 30 \end{array} \right]$

D)
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \ - 3 & 4 & - 1 \ 0 & 6 & 30 \end{array} \right]$

E)
$\left[ \begin{array} { c c c } 1 & - 2 & - 3 \ 0 & - 1 & 2 \ 0 & - 4 & - 29 \end{array} \right]$

Quizplus · Accepted Answer

Performing the given row operations, we get:
$$\left[ \begin{array} { c c c } 
1 & - 2 & - 3 \
2 & - 3 & - 1 \
1 & - 8 & - 33
\end{array} \right] \xrightarrow[]{R_2-(-2)R_1} \left[ \begin{array} { c c c } 
1 & - 2 & - 3 \
0 & 1 & 5 \
1 & - 8 & - 33
\end{array} \right] \xrightarrow[]{R_3-(-1)R_1} \left[ \begin{array} { c c c } 1 & - 2 & - 3 \ 0 & 1 & 5 \ 0 & - 6 & - 30 \end{array} \right]$$
Therefore, choice (C) is the correct answer.

Perform the Indicated Row Operations on the Matrix [1−2−32−3−11−8−33]\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\2 & - 3 & - 1 \\1 & - 8 & - 33\end{array} \right]​121​−2−3−8​−3−1−33​​

Perform the Indicated Row Operations on the Matrix $\left[ \begin{array} { c c c } 1 & - 2 & - 3 \\2 & - 3 & - 1 \\1 & - 8 & - 33\end{array} \right]$