A parallelogram can be represented by ... What is its area?

35 square units
The area of the parallelogram represented by the 2*2 matrix is the determinant of the matrix as shown:
[tex]Area=|A|[/tex]where A is the 2*2 matrix given
Find the area of the parallelogram
[tex]\begin{gathered} |A|=7(3)-2(-7) \\ |A|=21+14 \\ |A|=35square\text{ units} \end{gathered}[/tex]Hence the area of the parallelogram is 35 square units