Essence of linear algebra

A free course offering the core concept of linear algebra with a visuals-first approach.

Curated by: 3Blue1Brown (16 videos)

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Tracks in this Playlist

• Vectors | Chapter 1, Essence of linear algebra
• Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
• Linear transformations and matrices | Chapter 3, Essence of linear algebra
• Matrix multiplication as composition | Chapter 4, Essence of linear algebra
• Three-dimensional linear transformations | Chapter 5, Essence of linear algebra
• The determinant | Chapter 6, Essence of linear algebra
• Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
• Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra
• Dot products and duality | Chapter 9, Essence of linear algebra
• Cross products | Chapter 10, Essence of linear algebra
• Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra
• Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra
• Change of basis | Chapter 13, Essence of linear algebra
• Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
• A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra
• Abstract vector spaces | Chapter 16, Essence of linear algebra