Perform Matrix Row Operations
-$\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \ 0 & - 4 & 3 & - 5 & 0 \ 3 & 0 & - 1 & - 4 & 1 \ - 3 & 3 & 0 & 1 & - 4 \end{array} \right] \quad \begin{array} { r } - 2 R _ { 1 } + R _ { 3 } \ 3 R _ { 1 } + R _ { 4 } \end{array}$
A)
$\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \ 0 & - 4 & 3 & - 5 & 0 \ 1 & - 2 & 1 & - 6 & - 5 \ 0 & 6 & - 3 & 4 & 5 \end{array} \right]$
B)
$\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \ 0 & - 4 & 3 & - 5 & 0 \ 1 & - 2 & 1 & - 6 & - 5 \ - 3 & 3 & 0 & 1 & - 4 \end{array} \right]$
C)
$\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \ 0 & - 4 & 3 & - 5 & 0 \ 5 & 2 & - 3 & - 2 & 7 \ 0 & 6 & - 3 & 4 & 5 \end{array} \right]$
D)
$\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \ 0 & - 4 & 3 & - 5 & 0 \ 1 & - 2 & 1 & - 6 & - 1 \ 0 & 6 & - 3 & 4 & 4 \end{array} \right]$

Question

Quizplus · Accepted Answer

The operations -2R1 + R3 and 3R1 + R4 correctly transform the matrix into the one shown in option A, following the specified row operations.

Perform Matrix Row Operations - A) B) C) [11−1130−43−5052−3−2706−345]\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \\ 0 & - 4 & 3 & - 5 & 0 \\ 5 & 2 & - 3 & - 2 & 7 \\ 0 & 6 & - 3 & 4 & 5 \end{array} \right]​1050​1−426​−13−3−3​1−5−24​3075​​

Perform Matrix Row Operations
- A) B) C) $\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & 3 \\ 0 & - 4 & 3 & - 5 & 0 \\ 5 & 2 & - 3 & - 2 & 7 \\ 0 & 6 & - 3 & 4 & 5 \end{array} \right]$