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Use the Row Reduction Algorithm to Transform the Matrix into Echelon

Question 9

Multiple Choice

Use the row reduction algorithm to transform the matrix into echelon form or reduced echelon form as indicated.
-Find the reduced echelon form of the given matrix. [1451225414399210]\left[ \begin{array} { c r r r r } 1 & 4 & - 5 & 1 & 2 \\2 & 5 & - 4 & - 1 & 4 \\- 3 & - 9 & 9 & 2 & 10\end{array} \right]


A)
[1000260100800018]\left[ \begin{array} { r r r r r } 1 & 0 & 0 & 0 & 26 \\0 & 1 & 0 & 0 & - 8 \\0 & 0 & 0 & 1 & 8\end{array} \right]
B) [145120121000018]\left[ \begin{array} { r r r r r } 1 & 4 & - 5 & 1 & 2 \\0 & 1 & - 2 & 1 & 0 \\0 & 0 & 0 & 1 & 8\end{array} \right]
C)
[145060120800018]\left[ \begin{array} { r r r r r } 1 & 4 & - 5 & 0 & - 6 \\0 & 1 & - 2 & 0 & - 8 \\0 & 0 & 0 & 1 & 8\end{array} \right]

D)

[1030260120800018]\left[ \begin{array} { r r r r r } 1 & 0 & 3 & 0 & 26 \\0 & 1 & - 2 & 0 & - 8 \\0 & 0 & 0 & 1 & 8\end{array} \right]

Correct Answer:

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