WildLinAlg4a: Area and volume
This is the first video of the fourth lecture of a series on Linear Algebra. Area and volume in Linear Algebra are central concepts that underpin the entire subject, and lead naturally to determinants. Here we start with a pictorial treatment of area, then move to an algebraic formulation using bi-vectors. These are two-dimensional versions of vectors introduced in the 1840's by Grassmann. The three dimensional case of volume uses tri-vectors.