Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { c c } - 2 & 3 \ 14 & 0 \end{array} \right] ; 7$ times row 1 added to row 2
A)
$\left[ \begin{array} { r r } - 14 & 21 \ 14 & 0 \end{array} \right]$

B)
$\left[\begin{array}{rr}
-2 & 3 \
0 & 21
\end{array}\right]$

C)
$\left[\begin{array}{rr}
-2 & -11 \
0 & 21
\end{array}\right]$

D)
$\left[\begin{array}{rr}
-2 & 3 \
14 & 21
\end{array}\right]$

Question

Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { c c } - 2 & 3 \ 14 & 0 \end{array} \right] ; 7$ times row 1 added to row 2
A)
$\left[ \begin{array} { r r } - 14 & 21 \ 14 & 0 \end{array} \right]$

B)
$\left[\begin{array}{rr}
-2 & 3 \
0 & 21
\end{array}\right]$

C)
$\left[\begin{array}{rr}
-2 & -11 \
0 & 21
\end{array}\right]$

D)
$\left[\begin{array}{rr}
-2 & 3 \
14 & 21
\end{array}\right]$

Quizplus · Accepted Answer

To perform the row operation, multiply row 1 by 7 and add it to row 2. For row 1, $(-2) \times 7 = -14$ and $3 \times 7 = 21$. Adding these to row 2 gives $14 + (-14) = 0$ and $0 + 21 = 21$, resulting in the matrix in option B.

Use the Given Row Transformation to Change the Matrix as Indicated