## Problem on computing the determinant of a 2x2 matrix

Compute the determinant $$\text{det } \begin{pmatrix} 0 & 1 \\ 2 & 3 \end{pmatrix}$$
• ## Solution

Recall that
Hence, $$\text{det } \begin{pmatrix} 0 & 1 \\ 2 & 3 \end{pmatrix} = 0 \cdot 3 - 1\cdot 2 = -2.$$