Describe the elementary row operation used to transform the first matrix $\left[ \begin{array} { c c c }
3 & 5 & 6 \
0 & 2 & 2 \
0 & - 3 & - 4
\end{array} \right]$ into the second matrix $\left[ \begin{array} { l l l }
3 & 5 & 6 \
0 & 2 & 2 \
0 & 3 & 2
\end{array} \right]$ .
A)Add 4 times the third row to the second row.
B)Add 4 times the second row to the third row.
C)Add 3 times the third row to the second row.
D)Add 3 times the second row to the third row.
E)Add 2 times the second row to the third row.

Question

Describe the elementary row operation used to transform the first matrix $\left[ \begin{array} { c c c } 
3 & 5 & 6 \
0 & 2 & 2 \
0 & - 3 & - 4
\end{array} \right]$ into the second matrix $\left[ \begin{array} { l l l } 
3 & 5 & 6 \
0 & 2 & 2 \
0 & 3 & 2
\end{array} \right]$ .
A)Add 4 times the third row to the second row.
B)Add 4 times the second row to the third row.
C)Add 3 times the third row to the second row.
D)Add 3 times the second row to the third row.
E)Add 2 times the second row to the third row.

Quizplus · Accepted Answer

To transform the first matrix into the second matrix, we need to change the entry in the (3,2) position from -3 to 3. The only elementary row operation that will achieve this is adding 3 times the second row to the third row. Thus, the answer is choice D.

Describe the Elementary Row Operation Used to Transform the First [3560220−3−4]\left[ \begin{array} { c c c } 3 & 5 & 6 \\0 & 2 & 2 \\0 & - 3 & - 4\end{array} \right]​300​52−3​62−4​​

Describe the Elementary Row Operation Used to Transform the First $\left[ \begin{array} { c c c } 3 & 5 & 6 \\0 & 2 & 2 \\0 & - 3 & - 4\end{array} \right]$