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

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.
$$\left[ \begin{array} { l r r r } 1 & - 12 & - 18 & 12 \\0 & 1 & - 5 & 10 \\0 & - 20 & - 11 & 3\end{array} \right]$$
What row transformation would you perform next?

• A) Add 20 times row 1 to \(- 12\) times row 3 .
• B) Multiply row 3 by \(- \frac { 1 } { 11 }\).
• C) Add \(- \frac { 1 } { 20 }\) times row 2 to row 3 .
• D) Add 20 times row 2 to row \(3 .\)

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