Use the Row Reduction Algorithm to Transform the Matrix into Echelon

question 33

Multiple Choice

Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated.
-Find the echelon form of the given matrix. $$\left[ \begin{array} { c c c c } 1 & 4 & - 2 & 3 \\- 3 & - 11 & 9 & - 5 \\2 & 2 & 5 & - 1\end{array} \right]$$

• A)
• \(\left[\begin{array}{rrrr}
• 1 & 4 & -2 & 3 \\
• 0 & 1 & 3 & 4 \\
• 0 & 0 & 15 & -1
• \end{array}\right]\)
• B)
• \(\left[ \begin{array} { r r r r } 1 & 4 & - 2 & 3 \\ 0 & 1 & 3 & 4 \\ 0 & - 6 & 9 & - 7 \end{array} \right]\)
• C)
• \(\left[ \begin{array} { r r r r } 1 & 4 & - 2 & 3 \\ 0 & 1 & 3 & 4 \\ 0 & 0 & 27 & 17 \end{array} \right]\)
• D)
• \(\left[ \begin{array} { r r r r } 1 & 4 & - 2 & 3 \\ 0 & 1 & 3 & 4 \\ 0 & 0 & 27 & 0 \end{array} \right]\)

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