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Machine Learning

2. Math For ML

1. Essence of Linear Algebra

Learn Linear Algebra with interactive animation. Intuition behind concepts

  • Linear Combination, Span, Basis Vectors
  • Linear Transformation and Matrices
  • Matrix Multiplication as Composition
  • Three Dimensional Linear Transformations
  • The Determinant
  • Inverse Matrices, Column Space, Null Space
  • Non-square matrix as Transformations between dimensions
  • Dot Products and Duality
  • Cross Product
  • Cross Products in teh Light of Linear Transformations
  • Cramer’s Rule
  • Change of basis
  • Eigenvectors and Eigenvalues
  • A Quick Trick for Computing Eigenvalues
  • Abstract Vector Spaces
Essence of linear algebra youtube.com
A free course offering the core concept of linear algebra with a visuals-first approach.

2. Linear Algebra 101 - MIT

Prof. Gilbert Strang

Learn Linear Algebra Basics

  • Geometry of Linear Equations
  • Elimination with Matrices
  • Multiplication and Inverse Matrices
  • Factorization into A = LU
  • Transpose, Permutations, Spaces,
  • Column Spaces and NullSpace
  • Solving Ax=0
  • Solving Ax=b
  • …