Perform the Row Operation(s) on the Given Augmented Matrix $R _ { 2 } = - 4 r _ { 1 } + r _ { 2 }$

question 34

Multiple Choice

Perform the row operation(s) on the given augmented matrix.
-(a) $R _ { 2 } = - 4 r _ { 1 } + r _ { 2 }$
(b) $R _ { 3 } = 4 r _ { 1 } + r _ { 3 }$
(c) $R _ { 3 } = 3 r _ { 2 } + r _ { 3 }$
$$\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\4 & - 5 & 2 & 5 \\- 4 & - 5 & 4 & 6\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 7 & 22 & - 3 \\ 0 & 28 & 90 & 5 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 7 & 22 & - 3 \\ 0 & 4 & 50 & 5 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 7 & 22 & - 3 \\ 0 & - 68 & - 70 & 5 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & 2 \\ 0 & 17 & 22 & - 3 \\ 0 & 0 & 6 & 11 \end{array} \right]\)

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