Provide an Appropriate Response $$\left[ \begin{array} { r r r | r } 1 & - 10 & - 5 & 8 \\0 & 1 & 9 & 16 \\0 & - 8 & 5 & 6\end{array} \right]$$

question 302

Multiple Choice

Provide an appropriate response.
-Suppose that you are solving a system of three linear equations by the Gauss-Jordan method and obtain the following augmented matrix.
$$\left[ \begin{array} { r r r | r } 1 & - 10 & - 5 & 8 \\0 & 1 & 9 & 16 \\0 & - 8 & 5 & 6\end{array} \right]$$
What row transformation would you perform next?

• A) Multiply row 3 by \(\frac { 1 } { 5 }\).
• B) Add 8 times row 2 to row 3.
• C) Add 8 times row 1 to \(- 10\) times row 3 .
• D) Add \(- \frac { 1 } { 8 }\) times row 2 to row 3 .

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