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Mathematics

Linear algebra, real and complex analysis, topology, differential geometry, probability, combinatorics, and number theory.

18courses·132standalone talks·428total lectures

Subfields

All Mathematics428 Calculus & Analysis164 Linear Algebra107 Topology & Geometry59 Category Theory, Topos Theory & Set Foundations56 Probability & Information Theory39 Combinatorics & Graph Theory34 Control & Dynamical Systems31 Convex Optimization21 Formal Methods & Type Theory20 Number Theory & Abstract Algebra18 Statistical Learning & Causality7 Algorithmic Information & Coding Theory5 Cryptography4 Computational Complexity3

Linear Algebra— Vector spaces, Gaussian elimination, eigenvalues and spectral theory, SVD, and matrix factorizations.

12 topics

All Linear Algebra Gaussian Elimination & Matrix Systems28 Vector Spaces & Subspaces28 Eigenvalues & Spectral Theory20 Orthogonality & Least Squares15 Singular Value Decomposition (SVD)8 Double Integrals3 Matrix Operations3 Matrix Representation3 Change of Variables2 Inverse Matrix2 LU Decomposition2 Matrix Inverse2

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Factorization into A = LU

Factorization into A = LU

18.06 · Linear Algebra · Lec 4·Gaussian Elimination & Matrix Systems · Gilbert Strang · MIT

48:05

Counting Parameters in SVD, LU, QR, Saddle Points

Counting Parameters in SVD, LU, QR, Saddle Points

Matrix Methods in Data Analysis, Signal Processing, and Machine Learning · Lec 18·Singular Value Decomposition (SVD) · Gilbert Strang · MIT

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49:00

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LU Decomposition · Linear Algebra

2