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Perform the Sequence of Row Operations on the Matrix [1174571335]\left[ \begin{array} { c c c } 1 & 1 & - 7 \\4 & 5 & - 7 \\1 & 3 & 35\end{array} \right]

Question 27

Multiple Choice

Perform the sequence of row operations on the matrix.What did the operations accomplish?​ [1174571335]\left[ \begin{array} { c c c } 1 & 1 & - 7 \\4 & 5 & - 7 \\1 & 3 & 35\end{array} \right] ​ Add -4 times R1 to R2,
Add -1 times R1 to R3,
Add -2 times R2 to R3,
Add -1 times R2 to R1.


A) [100010001]\left[ \begin{array} { l l l } 1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{array} \right] The operations produce a row-equivalent matrix in reduced row-echelon form.
B) [10280121000]\left[ \begin{array} { r r r } 1 & 0 & - 28 \\0 & 1 & 21 \\0 & 0 & 0\end{array} \right] The operations produce a row-equivalent matrix in reduced row-echelon form.
C) [11280121000]\left[ \begin{array} { r r r } 1 & 1 & - 28 \\0 & 1 & 21 \\0 & 0 & 0\end{array} \right] The operations produce a row-equivalent matrix in reduced row-echelon form.
D) [11701210242]\left[ \begin{array} { c c c } 1 & 1 & - 7 \\0 & 1 & 21 \\0 & 2 & 42\end{array} \right] The operations produce a row-equivalent matrix in reduced row-echelon form.
E) [10280021000]\left[ \begin{array} { r r r } 1 & 0 & - 28 \\0 & 0 & 21 \\0 & 0 & 0\end{array} \right] The operations produce a row-equivalent matrix in reduced row-echelon form.

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