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Perform the Row Operations on the Matrix and Write the Resulting

Question 168

Multiple Choice

Perform the row operations on the matrix and write the resulting matrix.
-Replace R3R_{3} by 12R1+R2\frac{1}{2} R_{1}+R_{2}
[224611250101]\left[\begin{array}{rrr|r}2 & 2 & 4 & 6 \\ 1 & -1 & -2 & 5 \\ 0 & 1 & 0 & 1\end{array}\right]


A) [224611252008]\left[\begin{array}{rrr|r}2 & 2 & 4 & 6 \\1 & -1 & -2 & 5 \\2 & 0 & 0 & 8\end{array}\right]
B) [112320080101]\left[\begin{array}{lll|r}1 & 1 & 2 & 3 \\ 2 & 0 & 0 & 8 \\ 0 & 1 & 0 & 1\end{array}\right]
C) [2246010131211]\left[\begin{array}{lll|r}2 & 2 & 4 & 6 \\ 0 & 1 & 0 & 1 \\ 3 & 1 & 2 & 11\end{array}\right]
D) [112301002008]\left[\begin{array}{lll|l}1 & 1 & 2 & 3 \\ 0 & 1 & 0 & 0 \\ 2 & 0 & 0 & 8\end{array}\right]

Correct Answer:

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