Topic: Coordinates and Change of Basis

Coordinates in Matrix Spaces

Coordinates in Polynomial Bases

Coordinate Matrices of Linear Maps

Constructing a Change-of-Basis Matrix

Composing Multiple Basis Changes

Choosing Bases for Simpler Coordinates

Checking a Coordinate Conversion

Changing Domain and Codomain Bases Independently

Changing Basis for an Operator

Basis Changes in Polynomial Spaces