Determinant_of_Transpose_v2

Let $\mathbf A = \sqbrk a_n$ be a square matrix of order $n$. Let $\map \det {\mathbf A}$ be the determinant of $\mathbf A$. Let $\mathbf A^\intercal$ be the transpose of $\mathbf A$. Then $\map \det {\mathbf A} = \map \det {\mathbf A^\intercal}$