for all vectors v₁, v₂ in V and all scalars a₁, a₂.

Let’s address the elephant in the room. A search for often leads to shadowy corners of the internet: academic file-sharing sites, student repos, or private Google Drives. While the temptation to download a free, scanned copy of Strang’s official textbook (worth $80+) is high, you need to be cautious.

Concluding note Strang’s linear algebra lecture notes (PDFs) are a compact, intuition-rich resource that combine computational techniques with geometric insight and real-world applications. Study them actively: work examples by hand, implement algorithms numerically, and summarize key ideas to build lasting understanding.

: A condensed, visual summary of the course created during 2020–2021. It covers the "big picture" of linear algebra, including vector spaces, the four fundamental subspaces, and eigenvalues. Download ZoomNotes (PDF) 18.06 Course Notes

For more advanced students, Strang’s newer course (18.065) applies linear algebra to modern technology. The lecture notes for 18.065 are essential if you want to understand the math behind Deep Learning and AI. Key Topics Covered in the Notes

| Question | Answer | | :--- | :--- | | | ✅ Yes, via MIT OCW 18.06 | | Is it the same as the textbook? | ❌ No, it is a concise companion | | Best single link to start? | ocw.mit.edu/courses/18-06-linear-algebra-fall-2011/resources/lecture-summaries/ | | Can I get the full textbook PDF legally? | ❌ No (but used copies are ~$20) |