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

question 201

Multiple Choice

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

• A) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & 4 & 11 & 11 \\ 0 & 21 & 35 & 25 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & 4 & 11 & 11 \\ 0 & 37 & 79 & 69 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & - 8 & - 9 & 3 \\ 0 & - 37 & - 40 & - 8 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & 14 & 19 & 4 \\ 0 & 87 & 119 & 34 \end{array} \right]\)

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