Discussion
The determinant of the matrix with rows (2, 3) and (4, 5) is
Answer: A
For a two by two matrix the determinant is the product of the leading diagonal less that of the other:
\[ \begin{vmatrix} 2 & 3 \\ 4 & 5 \end{vmatrix} = (2)(5) - (3)(4) = 10 - 12 = -2 \]
A negative value is perfectly admissible and simply reflects the orientation the transformation produces.
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