Suppose That You Are Solving a System of Three Linear $$\left[ \begin{array} { r r r | r } 1 & - 11 & - 13 & - 30 \\0 & - 14 & - 3 & 1 \\0 & 5 & - 9 & - 26\end{array} \right]$$

question 492

Multiple Choice

Suppose that you are solving a system of three linear equations by the Gauss-Jordan method and obtain the following augmented matrix. $$\left[ \begin{array} { r r r | r } 1 & - 11 & - 13 & - 30 \\0 & - 14 & - 3 & 1 \\0 & 5 & - 9 & - 26\end{array} \right]$$
What row operation would you perform next?

• A) Multiply row 1 by \(- \frac { 1 } { 11 }\).
• B) Add \(- 5\) times row 1 to \(- 11\) times row 3 to obtain a zero in the third row, second column position.
• C) Add row 1 to row \(2 .\)
• D) Multiply row 2 by \(- \frac { 1 } { 14 }\).

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