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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Definitions:

Seneca Falls Convention

A pivotal gathering in 1848 that marked the beginning of the women's rights movement in the United States.

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An American journalist, critic, and women's rights advocate associated with the transcendentalist movement, known for her works advocating for equality and education for women.

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The location of the first women's rights convention held in 1848, marking the start of the women's suffrage movement in the United States.