Answer:
[tex]D = ab - cd[/tex]
Explanation:
Given
[tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
Required
Determine the determinant
Represent the determinant with D
Since the above matrices is 2 by 2.
All we have to do is to multiply the alternate elements of the columns
i.e. (a * d) and (b * c)
Then subtract:
[tex]D = (a * d) - (b * c)[/tex]
Simplify
[tex]D = (ad) - (bc)[/tex]
[tex]D = ab - cd[/tex]
