Consider the matrix $\left[ \begin{array} { c c : c }
1 & - 4 & 8 \
2 & 8 & 8
\end{array} \right]$ . What elementary row operation was performed to obtain the matrix $\left[ \begin{array} { c c : c }
1 & - 4 & 8 \
0 & 16 & - 8
\end{array} \right]$ ?
A) $- 2 R _ { 1 } + R _ { 2 }$
B) $2 R _ { 1 } + R _ { 2 }$
C) $- 2 R _ { 2 } + R _ { 1 }$
D) $2 R _ { 2 } + R _ { 1 }$

Question

Consider the matrix $\left[ \begin{array} { c c : c } 
1 & - 4 & 8 \
2 & 8 & 8
\end{array} \right]$ . What elementary row operation was performed to obtain the matrix $\left[ \begin{array} { c c : c } 
1 & - 4 & 8 \
0 & 16 & - 8
\end{array} \right]$ ?
A) $- 2 R _ { 1 } + R _ { 2 }$
B) $2 R _ { 1 } + R _ { 2 }$
C) $- 2 R _ { 2 } + R _ { 1 }$
D) $2 R _ { 2 } + R _ { 1 }$

Quizplus · Accepted Answer

The operation performed to obtain the second matrix from the first is $- 2 R _ { 1 } + R _ { 2 }$, which makes the first element of the second row zero and adjusts the other elements accordingly.

Consider the Matrix [1−48288]\left[ \begin{array} { c c : c } 1 & - 4 & 8 \\2 & 8 & 8\end{array} \right][12​−48​88​]

Consider the Matrix $\left[ \begin{array} { c c : c } 1 & - 4 & 8 \\2 & 8 & 8\end{array} \right]$