Answer:
![\left[\begin{array}ccc2&-1&-4&7\\-1&2&1&-1\\3&4&5&5\end{array}\right]](https://img.qammunity.org/2024/formulas/mathematics/high-school/1wgo6gj93sf5767fjtkxj2vs6hgfw0sb4b.png)
Explanation:
You want the last two rows of the given matrix with rows 2 and 3 swapped.
Swapped rows
The notation ...

means row 3 (R3) is replaced by row 2 (R2), and vice versa.
The answer to the second part of this question has you write row 3 of the original matrix on the second row of the answer matrix. Then you write row 2 of the original matrix on the 3rd row of the answer matrix.
You are simply copying the numbers to a different place. There is no math involved.
The end result is shown above.
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Additional comment
The notation R1 +R3 ➝ R3 means that row 3 is replaced by the sum of rows 1 and 3. The first number in row 3 resulting from the answer choices would be ...
R1 ⇄ R3: 2, the value formerly in row 1
R2 ⇄ R3: 3, the value formerly in row 2
R1+R3 ➝ R3: 2+(-1) = 1, the sum of values in rows 1 and 3
Since you want the largest of these, the choice R2 ⇄ R3 is the correct one.
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