evaluate the determinant for the following matrix [3 -5 / 1 1]

Answer:
Step-by-step explanation:
[tex]\det\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =ad-bc\\\\\det\left[\begin{array}{ccc}3&-5\\1&1\end{array}\right] =(3)(1)+(-5)(1)=3-5=-2[/tex]