Determinants as Area Scaling
A 2x2 matrix can be seen as a transformation that changes a shape. Drag the \<span class="text-red-500 font-semibold"\>red\</span\> and \<span class="text-blue-500 font-semibold"\>blue\</span\> points to change the matrix vectors. Observe how the area of the unit square changes and relates to the determinant.