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Suppose That You Are Solving a System of Three Linear [1−12−181201−5100−20−113]\left[ \begin{array} { l r r r } 1 & - 12 & - 18 & 12 \\0 & 1 & - 5 & 10 \\0 & - 20 & - 11 & 3\end{array} \right]

Question 39

Multiple Choice

Suppose that you are solving a system of three linear equations in three variables by the row echelon method ans obtain the following augmented matrix.
[1−12−181201−5100−20−113]\left[ \begin{array} { l r r r } 1 & - 12 & - 18 & 12 \\0 & 1 & - 5 & 10 \\0 & - 20 & - 11 & 3\end{array} \right]
What row transformation would you perform next?


A) Add 20 times row 1 to −12- 12 times row 3 .
B) Multiply row 3 by −111- \frac { 1 } { 11 } .
C) Add −120- \frac { 1 } { 20 } times row 2 to row 3 .
D) Add 20 times row 2 to row 3.3 .

Correct Answer:

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