The matrix representation that results from the transformation will be:
[tex]\left[\begin{array}{ccc}-1&2\\0&4\\12&2\\-3&-4\end{array}\right][/tex]
Given the elementary matrix
[tex]\left[\begin{array}{ccc}-1&2\\0&4\\6&3\\-3&-4\end{array}\right][/tex]
The question required us to transform the matrix by using the elementary row operator 2R₃-R₂
Applying the transformation will create a new Row 3 as shown below:
- New Row 3 Column 1 <-> 2(6) - 0 = 12
- New Row 3 Column 2 <-> 2(3) - 4 = 6 - 4 = 2
The equivalent matrix will be:
[tex]\left[\begin{array}{ccc}-1&2\\0&4\\12&2\\-3&-4\end{array}\right][/tex]
Learn more here: https://brainly.com/question/23851120
