Linear algebra

1. 1
   9:59

   Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra

   3Blue1Brown

   Span and basis vectors: the vocabulary of the whole subject.

2. 2
   

   Linear transformations and matrices | Chapter 3, Essence of linear algebra

   3Blue1Brown

   The key idea: a matrix is a transformation of space.

3. 3
   10:04

   Matrix multiplication as composition | Chapter 4, Essence of linear algebra

   3Blue1Brown

   Matrix multiplication as doing one transformation after another.

4. 4
   12:09

   Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra

   3Blue1Brown

   Inverses, column space and null space: when a system of equations can be solved.

5. 5
   14:12

   Dot products and duality | Chapter 9, Essence of linear algebra

   3Blue1Brown

   Dot products, and the surprising duality behind them.

6. 6
   

   Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

   3Blue1Brown

   Eigenvectors and eigenvalues, the idea that powers so much of applied math.

7. 7
   39:49

   1. The Geometry of Linear Equations

   MIT OpenCourseWare

   Ready for more? Gilbert Strang’s legendary first MIT 18.06 lecture.

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