Topic: Vector Spaces and Subspaces

Homogeneous Linear Constraints Define Subspaces

Even and Odd Functions as Subspaces

Decomposing Functions Into Even and Odd Parts

Closure Under Linear Combinations

Checking Operations Against the Axioms

Cancellation in Vector Addition

Basic Examples of Subspaces

Affine Solution Sets Are Not Usually Subspaces

Adding Polynomial Subspaces

A Subspace Problem-Solving Workshop