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Foundations

Linear Algebra

Vectors, matrix factorizations, and eigendecomposition from first principles — the mathematical foundation every other course in this catalog assumes.

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3 lessons here are on the Guided Foundations Path· Step 01, Steps 08-09

Course contents

Foundations

  1. W01Start Here: Python and the Math the Labs Use
  1. W01Week 1: Vectors and Linear Combinations
  2. W02Week 2: Linear Transformations and Matrices
  3. W03Week 3: Elimination and LU Factorization
  4. W04Week 4: Determinants
  5. W05Week 5: Vector Spaces, Independence, and Basis
  6. W06Week 6: The Four Fundamental Subspaces
  7. W07Week 7: Orthogonality and Projections
  8. W08Week 8: Least Squares and QR
  9. W09Week 9: Eigenvalues and Eigenvectors
  10. W10Week 10: Diagonalization and Markov Matrices
  11. W11Week 11: Differential Equations
  12. W12Week 12: Symmetric and Positive Definite Matrices
  13. W13Week 13: The SVD and Complex Matrices
  14. W14Week 14: PCA, the Fourier Matrix and the FFT