WildLinAlg4: Area and volume

WildLinAlg4: Area and volume

WildLinAlg: A first course in Linear Algebra

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This is the fourth lecture in our series on Linear Algebra. Here we introduce area as a determinant, first in two dimensions, then in three. We give a pictorial definition using the affine grid plane, then also a purely algebraic approach using Grassmann's bi-vectors. A bi-vector is a two dimensional analog of a vector, and captures the physical notions of torque, angular momentum, and force on a charged particle in a magnetic field.We find the c...Read More
This is the fourth lecture in our series on Linear Algebra. Here we introduce area as a de...Read More