Essence of Linear Algebra

Notes from 3Blue1Brown's Essence of Linear Algebra.

Contents

• Essense of linear algebra
• Linear combinations, span, and basis vectors
• Linear Transformations and Matrices
• Matrix multiplication as composition
• Three-Dimensional Linear Transformations
• The determinant
• Inverse matrices, column space, and null space
• Nonsquare matrices as transformations between dimensions
• Dot Products and Duality
• Cross Products
• Chapter 11. Cross products in the light of linear transformations (missing)
• Chapter 12. Cramer's rule, explained geometrically (missing)
• Change of basis
• Eigenvectors and Eigenvalues