Introduction to Linear Algebra

Geometry with vectors

Center of mass and barycentric coordinates

Area and volume

Change of coordinates and determinants

Applications of 2x2 matrices

More applications of 2x2 matrices

Inverting 3x3 matrices

Three dimensional affine geometry

Equations of lines and planes in 3D

Applications of 3x3 matrices

Generalized dilations and eigenvectors

Solving a system of linear equations

More row reduction with parameters

Applications of row reduction (Gaussian elimination)

Applications of row reduction II

Rank and Nullity of a Linear Transformation

The geometry of a system of linear equations

Linear algebra with polynomials

Bases of polynomial spaces

More bases of polynomial spaces

Polynomials and sequence spaces