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

question 100

Multiple Choice

Perform the sequence of row operations on the matrix.What did the operations accomplish $$\left[ \begin{array} { c c c } 1 & 1 & - 7 \\4 & 5 & - 7 \\1 & 3 & 35\end{array} \right]$$
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) \(\left[ \begin{array} { l l l }
• 1 & 0 & 0 \\
• 0 & 1 & 0 \\
• 0 & 0 & 1
• \end{array} \right]\) The operations produce a row-equivalent matrix in reduced row-echelon form.
• B) \(\left[ \begin{array} { r r r }
• 1 & 0 & - 28 \\
• 0 & 1 & 21 \\
• 0 & 0 & 0
• \end{array} \right]\) The operations produce a row-equivalent matrix in reduced row-echelon form.
• C) \(\left[ \begin{array} { r r r }
• 1 & 1 & - 28 \\
• 0 & 1 & 21 \\
• 0 & 0 & 0
• \end{array} \right]\) The operations produce a row-equivalent matrix in reduced row-echelon form.
• D) \(\left[ \begin{array} { c c c }
• 1 & 1 & - 7 \\
• 0 & 1 & 21 \\
• 0 & 2 & 42
• \end{array} \right]\) The operations produce a row-equivalent matrix in reduced row-echelon form.
• E) \(\left[ \begin{array} { r r r }
• 1 & 0 & - 28 \\
• 0 & 0 & 21 \\
• 0 & 0 & 0
• \end{array} \right]\) The operations produce a row-equivalent matrix in reduced row-echelon form.

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