Suppose that A is a 3 × 3 matrix. By writing out all the terms explicitly, verify that the determinant of A can be written as \operatorname{det} \mathrm{A}=\varepsilon_{i j k} A_{1 i} A_{2 j} A_{3 k} \text {. } \operatorname{det} \mathrm{A}=\varepsilon_{i j k} A_{1 i} A_{2 j} A_{3 k}