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Linear Algebra

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

Beginner14 weeks · 14 lessons
Your progress00 / 14 · 0%
Lessons
W01Week 1: Vectors and Linear CombinationsGeneralW02Week 2: Linear Transformations and MatricesGeneralW03Week 3: Elimination and LU FactorizationGeneralW04Week 4: DeterminantsGeneralW05Week 5: Vector Spaces, Independence, and BasisGeneralW06Week 6: The Four Fundamental SubspacesGeneralW07Week 7: Orthogonality and ProjectionsGeneralW08Week 8: Least Squares and QRGeneralW09Week 9: Eigenvalues and EigenvectorsGeneralW10Week 10: Diagonalization and Markov MatricesGeneralW11Week 11: Differential EquationsGeneralW12Week 12: Symmetric and Positive Definite MatricesGeneralW13Week 13: The SVD and Complex MatricesGeneralW14Week 14: The Fourier Matrix, FFT, and PCAGeneral