Describe the elementary row operation used to transform the first matrix $[3560220−3−4]\left[ \begin{array} { c c c } 3 & 5 & 6 \\0 & 2 & 2 \\0 & - 3 & - 4\end{array} \right]$ into the second matrix $[356022032]\left[ \begin{array} { l l l } 3 & 5 & 6 \\0 & 2 & 2 \\0 & 3 & 2\end{array} \right]$ .

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

[3560220−3−4]\left[ \begin{array} { c c c } 3 & 5 & 6 \\0 & 2 & 2 \\0 & - 3 & - 4\end{array} \right]

into the second matrix

[356022032]\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.

Ngornly Hangming · Accepted Answer

Final Answer : D, Explanation :  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.

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