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Linear Algebra · Linear algebra

Vectors

Vectors as arrows and lists of numbers: addition, scaling, length, the dot product and angles, linear combinations and span, with applications to portfolios, physics and AI embeddings using cosine similarity.

30 min · 6 steps · videoJump to quiz ↓
Vectors | Chapter 1, Essence of linear algebra 3Blue1Brown · 10 min
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Step 1 of 6 · Overview30 min read ·
Key idea
Prereqs: Coordinate geometry; Trigonometry. Next: Matrices as transformations. Follows 3Blue1Brown *Essence of Linear Algebra* ch. 1–2, Gilbert Strang's MIT 18.06, Khan Academy.
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