Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { c c } - 2 & 5 \ 14 & 0 \end{array} \right] ; 7$ times row 1 added to row 2
A)
$\left[ \begin{array} { r r } - 2 & 5 \ 14 & 35 \end{array} \right]$

B)
$\left[ \begin{array} { r r } - 14 & 35 \ 14 & 0 \end{array} \right]$

C)

$\left[ \begin{array} { r r } - 2 & - 9 \ 0 & 35 \end{array} \right]$

D)

$\left[ \begin{array} { r r } - 2 & 5 \ 0 & 35 \end{array} \right]$

Question

Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { c c } - 2 & 5 \ 14 & 0 \end{array} \right] ; 7$ times row 1 added to row 2
A)
$\left[ \begin{array} { r r } - 2 & 5 \ 14 & 35 \end{array} \right]$

B)
$\left[ \begin{array} { r r } - 14 & 35 \ 14 & 0 \end{array} \right]$

C)

$\left[ \begin{array} { r r } - 2 & - 9 \ 0 & 35 \end{array} \right]$

D)

$\left[ \begin{array} { r r } - 2 & 5 \ 0 & 35 \end{array} \right]$

Quizplus · Accepted Answer

To perform the row operation, multiply each element of row 1 by 7 and add it to the corresponding element of row 2. For the first element: $7 \times (-2) + 14 = -14 + 14 = 0$. For the second element: $7 \times 5 + 0 = 35 + 0 = 35$. This results in the matrix $\left[ \begin{array} { r r } - 2 & 5 \ 0 & 35 \end{array} \right]$.

Use the Given Row Transformation to Change the Matrix as Indicated