Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { r r r } 6 & 5 & 12 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right] ; - 6$ times row 3 added to row 1
A)
$\left[ \begin{array} { r r r } 6 & 5 & 1 \ 5 & - 2 & 7 \ - 24 & - 12 & - 12 \end{array} \right]$

B)
$\left[ \begin{array} { r r r } - 18 & - 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$

C)
$\left[ \begin{array} { r r r } 6 & 5 & 12 \ - 19 & - 14 & - 5 \ - 24 & - 12 & - 12 \end{array} \right]$

D)
$\left[ \begin{array} { r r r } 10 & 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$

Question

Use the given row transformation to change the matrix as indicated.
-$\left[ \begin{array} { r r r } 6 & 5 & 12 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right] ; - 6$ times row 3 added to row 1
A)
$\left[ \begin{array} { r r r } 6 & 5 & 1 \ 5 & - 2 & 7 \ - 24 & - 12 & - 12 \end{array} \right]$

B)
$\left[ \begin{array} { r r r } - 18 & - 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$

C)
$\left[ \begin{array} { r r r } 6 & 5 & 12 \ - 19 & - 14 & - 5 \ - 24 & - 12 & - 12 \end{array} \right]$

D)
$\left[ \begin{array} { r r r } 10 & 7 & 0 \ 5 & - 2 & 7 \ 4 & 2 & 2 \end{array} \right]$

Quizplus · Accepted Answer

To obtain the new row 1, we multiply each element of row 3 by -6 and add it to the corresponding element of row 1: $6 + (-6 \times 4) = -18$, $5 + (-6 \times 2) = -7$, $12 + (-6 \times 2) = 0$. The rest of the matrix remains unchanged.

Use the Given Row Transformation to Change the Matrix as Indicated