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

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

Correct Answer:

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