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 replacing the second row with the result. This does not change the first row, hence the correct matrix is the one where the first row remains unchanged and the second row is the result of the operation.

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) $\left[ \begin{array} { r r | r } - 4 & - 28 & - 40 \\ 0 & - 20 & - 44 \end{array} \right]$