Given the matrix M $$\mathbf { M } = \left[ \begin{array} { c c | c }
1 & - 4 & 2 \
- 4 & - 3 & 5
\end{array} \right]$$ write the matrix obtained by multiplying the first row by 4 and then adding the first row to the second row.
A)
$\left[ \begin{array} { c c | c }
4 & - 16 & 8 \
0 & - 19 & 13
\end{array} \right]$
B)
$\left[ \begin{array} { c c | c } 1 & - 4 & 2 \ 0 & - 13 & 3 \end{array} \right]$

C)
$\left[ \begin{array} { c c | c } 0 & 8 & - 18 \ - 4 & - 3 & 5 \end{array} \right]$

D)
$\left[ \begin{array} { c c | c } 1 & - 4 & 2 \ 0 & - 19 & 13 \end{array} \right]$

Question

Given the matrix M $$\mathbf { M } = \left[ \begin{array} { c c | c } 
1 & - 4 & 2 \
- 4 & - 3 & 5
\end{array} \right]$$ write the matrix obtained by multiplying the first row by 4 and then adding the first row to the second row. 
A)
$\left[ \begin{array} { c c | c } 
4 & - 16 & 8 \
0 & - 19 & 13
\end{array} \right]$
B)
$\left[ \begin{array} { c c | c } 1 & - 4 & 2 \ 0 & - 13 & 3 \end{array} \right]$

C)
$\left[ \begin{array} { c c | c } 0 & 8 & - 18 \ - 4 & - 3 & 5 \end{array} \right]$

D)
$\left[ \begin{array} { c c | c } 1 & - 4 & 2 \ 0 & - 19 & 13 \end{array} \right]$

Quizplus · Accepted Answer

Multiplying the first row by 4 gives [4, -16, 8]. Adding this to the second row [-4, -3, 5] results in [0, -19, 13].

Given the Matrix M M=[1−42−4−35]\mathbf { M } = \left[ \begin{array} { c c | c } 1 & - 4 & 2 \\- 4 & - 3 & 5\end{array} \right]M=[1−4​−4−3​25​]

Given the Matrix M $\mathbf { M } = \left[ \begin{array} { c c | c } 1 & - 4 & 2 \\- 4 & - 3 & 5\end{array} \right]$