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Perform the Row Operation(s) on the Given Augmented Matrix R2=−2r1+r2R _ { 2 } = - 2 r _ { 1 } + r _ { 2 }

Question 201

Multiple Choice

Perform the row operation(s) on the given augmented matrix.
-(a) R2=−2r1+r2R _ { 2 } = - 2 r _ { 1 } + r _ { 2 }
(b) R3=−2r1+r3\mathrm { R } _ { 3 } = - 2 \mathrm { r } _ { 1 } + \mathrm { r } _ { 3 }
(c) R3=6r2+r3\mathrm { R } _ { 3 } = 6 \mathrm { r } _ { 2 } + \mathrm { r } _ { 3 }
[1−3−5−22−5−452546]\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\2 & - 5 & - 4 & 5 \\2 & 5 & 4 & 6\end{array} \right]


A) [1−3−5−20411110213525]\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & 4 & 11 & 11 \\ 0 & 21 & 35 & 25 \end{array} \right]

B) [1−3−5−20411110377969]\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & 4 & 11 & 11 \\ 0 & 37 & 79 & 69 \end{array} \right]

C) [1−3−5−20−8−930−37−40−8]\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & - 8 & - 9 & 3 \\ 0 & - 37 & - 40 & - 8 \end{array} \right]

D) [1−3−5−201419408711934]\left[ \begin{array} { r r r | r } 1 & - 3 & - 5 & - 2 \\ 0 & 14 & 19 & 4 \\ 0 & 87 & 119 & 34 \end{array} \right]

Correct Answer:

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