Linear Algebra

1 Vector Spaces

• 1.1  Groups September 1, 2026 (updated October 22, 2026)
• 1.2  Vector Spaces June 2, 2026 (updated October 22, 2026)
• 1.3  Subspaces June 19, 2026 (updated October 25, 2026)
• 1.4  Linear Combinations and Spans June 22, 2026 (updated October 22, 2026)
• 1.5  The Span Operator October 15, 2026 (updated October 25, 2026)
• 1.6  Linear Dependence and Linear Independence August 18, 2026 (updated October 22, 2026)
• 1.7  Bases and Dimension October 9, 2026 (updated October 24, 2026)

2 Linear Maps and Isomorphisms

• 2.1  Linear Maps and Hom spaces October 21, 2026 (updated October 25, 2026)
• 2.2  Composition, Identities, and Inverses October 22, 2026 (updated October 25, 2026)
• 2.3  Kernels and Rank–Nullity October 22, 2026 (updated October 25, 2026)