Problem on computing the determinant of a 2x2 matrix
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Compute the determinant $$\text{det } \begin{pmatrix} 0 & 1 \\ 2 & 3 \end{pmatrix}$$
Solution
Recall that
Determinant of a 2x2 matrix
The determinant of a $2 \times 2$ matrix is $$\text{det } \begin{pmatrix}a & b \\ c&d \end{pmatrix} = ad - bc.$$
Hence, $$\text{det } \begin{pmatrix} 0 & 1 \\ 2 & 3 \end{pmatrix} = 0 \cdot 3 - 1\cdot 2 = -2.$$
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