Topic: Basis and Dimension

Shrinking a Spanning List to a Basis

Row Reduction Tests for Independence

Redundant Vectors in Spanning Lists

Reducing a Spanning List in Practice

Proving the Exchange Lemma by Replacement

Proving a Candidate List Is a Basis

Proof of the Spanning Set Reduction Theorem

Proof of the Basis Extension Theorem

Natural Bases for Matrix Spaces

Monomial Bases for Polynomial Spaces