Sign of Determinant
	Click on a permutation. The darker purple is the clicked permutation and the lighter one its  transpose. Drag the circle on each row horizontally so that a permutation is formed. Click the entry and try different numbers for experimentation The red line implies the inversion. Odd number of red line implies the negative sign. Click the "Code generation" button to find the matching Mathematica codes. Copy and paste to your Mathematica to get your hands on.