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.
$$\left[ \begin{array} { r r r | r }
1 & - 9 & 1 & 4 \
0 & - 1 & - 13 & - 8 \
0 & - 3 & - 2 & - 11
\end{array} \right]$$
What row operation would you perform next?
A) Multiply row 1 by $- \frac { 1 } { 9 }$.
B) Add 3 times row 1 to $- 9$ 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 $- 1$.

Question

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.
$$\left[ \begin{array} { r r r | r } 
1 & - 9 & 1 & 4 \
0 & - 1 & - 13 & - 8 \
0 & - 3 & - 2 & - 11
\end{array} \right]$$
What row operation would you perform next?
A) Multiply row 1 by $- \frac { 1 } { 9 }$.
B) Add 3 times row 1 to $- 9$ 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 $- 1$.

Quizplus · Accepted Answer

The next logical step in the Gauss-Jordan method after obtaining the given matrix would be to simplify the matrix further by making the coefficients more manageable. Multiplying row 2 by -1 will convert the coefficients to positive, making it easier to work with and to eventually obtain a row echelon form.

Provide an Appropriate Response [1−9140−1−13−80−3−2−11]\left[ \begin{array} { r r r | r } 1 & - 9 & 1 & 4 \\0 & - 1 & - 13 & - 8 \\0 & - 3 & - 2 & - 11\end{array} \right]​100​−9−1−3​1−13−2​4−8−11​​

Provide an Appropriate Response $\left[ \begin{array} { r r r | r } 1 & - 9 & 1 & 4 \\0 & - 1 & - 13 & - 8 \\0 & - 3 & - 2 & - 11\end{array} \right]$