Perform the row operation(s) on the given augmented matrix.
-$$\begin{array} { l }
\mathrm { R } _ { 2 } = - 4 \mathrm { r } _ { 1 } \
{ \left[ \begin{array} { l l | l }
1 & 7 & 10 \
4 & 8 & - 4
\end{array} \right] }
\end{array}$$
A) $\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \ 0 & - 20 & - 44 \end{array} \right]$

B) $\left[ \begin{array} { r r | r } 1 & 3 & 10 \ 0 & 10 & 18 \end{array} \right]$

C) $\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \ 4 & 8 & - 4 \end{array} \right]$

D) $\left[ \begin{array} { r r | r } 1 & 7 & 10 \ 0 & - 20 & - 44 \end{array} \right]$

Question

Perform the row operation(s) on the given augmented matrix.
-$$\begin{array} { l } 
\mathrm { R } _ { 2 } = - 4 \mathrm { r } _ { 1 } \
{ \left[ \begin{array} { l l | l } 
1 & 7 & 10 \
4 & 8 & - 4
\end{array} \right] }
\end{array}$$
A) $\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \ 0 & - 20 & - 44 \end{array} \right]$

B) $\left[ \begin{array} { r r | r } 1 & 3 & 10 \ 0 & 10 & 18 \end{array} \right]$

C) $\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \ 4 & 8 & - 4 \end{array} \right]$

D) $\left[ \begin{array} { r r | r } 1 & 7 & 10 \ 0 & - 20 & - 44 \end{array} \right]$

Quizplus · Accepted Answer

The operation $R_2 = -4R_1$ applied to the second row of the matrix means multiplying each element of the first row by -4 and then replacing the second row with these results. The first row remains unchanged, resulting in the matrix in option D.

Perform the Row Operation(s) on the Given Augmented Matrix A) [−4−28−400−20−44]\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \\ 0 & - 20 & - 44 \end{array} \right][−40​−28−20​−40−44​]

Perform the Row Operation(s) on the Given Augmented Matrix A) $\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \\ 0 & - 20 & - 44 \end{array} \right]$