Lesson 3 of 8Module 1 · 0% of course
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Linear Algebra · Linear algebra

Matrix Multiplication

How to multiply matrices (row-by-column), what it means (composing transformations), shapes that fit, why AB ≠ BA, the identity and inverse, and why it powers graphics and neural networks.

30 min · 5 steps · videoJump to quiz ↓
Matrix multiplication as composition | Chapter 4, Essence of linear algebra 3Blue1Brown · 10 min
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Step 1 of 5 · Overview30 min read ·
Key idea
Prereqs: Vectors & linear transformations. Next: Solving linear systems; dot products. Sources: Strang, *Introduction to Linear Algebra* ch. 2; 3Blue1Brown *Essence of Linear Algebra* ch. 4.
Next: 1. The rule

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