Perform the elementary row operation on the given matrix.
-$$- \frac { 1 } { 2 } R _ { 2 } \rightarrow R _ { 2 }$$
$$\left[ \begin{array} { r r | r }
9 & 11 & 1 \
16 & 32 & 20
\end{array} \right]$$
A) $ \left[\begin{array}{rr|r}9 & 11 & 1 \ -8 & -16 & -10\end{array}\right] $

B) $ \left[\begin{array}{ll|r}9 & 11 & 1 \ 8 & 16 & 10\end{array}\right] $

C) $ \left[\begin{array}{rr|r}18 & 22 & 2 \ 16 & 32 & 20\end{array}\right] $

D) $ \left[\begin{array}{rr|r}9 & 11 & 1 \ 32 & 64 & 40\end{array}\right] $

Question

Perform the elementary row operation on the given matrix.
-$$- \frac { 1 } { 2 } R _ { 2 } \rightarrow R _ { 2 }$$
$$\left[ \begin{array} { r r | r } 
9 & 11 & 1 \
16 & 32 & 20
\end{array} \right]$$
A) $ \left[\begin{array}{rr|r}9 & 11 & 1 \ -8 & -16 & -10\end{array}\right] $

B) $ \left[\begin{array}{ll|r}9 & 11 & 1 \ 8 & 16 & 10\end{array}\right] $

C) $ \left[\begin{array}{rr|r}18 & 22 & 2 \ 16 & 32 & 20\end{array}\right] $

D) $ \left[\begin{array}{rr|r}9 & 11 & 1 \ 32 & 64 & 40\end{array}\right] $

Quizplus · Accepted Answer

Multiplying the second row by $-\frac{1}{2}$ results in each element of the row being halved and negated, leading to the matrix in option A.

Perform the Elementary Row Operation on the Given Matrix −12R2→R2- \frac { 1 } { 2 } R _ { 2 } \rightarrow R _ { 2 }−21​R2​→R2​

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