Linear algebra foundations
Original English mathematics by Jim Hefferon, from Linear Algebra.
Six linked foundation sections, not the complete book. The original explanations, proofs, exercises and supplied answers are preserved. Separate source notes explain specific findings without silently changing the original mathematics.
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- Solving Linear Systems — 57 exercises with supplied answers
- Reduced Echelon Form — 31 exercises with supplied answers
- Vector Spaces — 59 exercises with supplied answers
- Linear Independence — 26 exercises with supplied answers
- Basis and Dimension — 100 exercises with supplied answers
- Fields — 5 exercises with supplied answers
Extending a linearly independent set to a basis — read the preceding independence, exchange and dimension arguments as needed. This link is not certification of another course’s proof dependencies.
Editable source and offline reading
The archive preserves the original source tree and component credits, exact frozen editable HTML-generation inputs, the six readers and replay instructions. The HTML rebuild is verified; a new PDF or native TeX compilation is not claimed. No scripts, web fonts or network connection are required to read the downloaded HTML.
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Source revision df2262e089a02651c127f1dd12649c4622ee1383. CC BY-SA 2.5 option; original component credits are retained. This material is not relicensed as CC0. This is not an Everyday-English rewrite.
Source-preserving rebuild, navigation, indexing and current deterministic checks: OpenAI Codex — GPT-6 Astra, Ultra effort. Earlier intermediate-conversion model identity is unverified; historical work is not reattributed. No human review or exhaustive mathematical certification is claimed.