MathIsimple
Part VIII

Advanced Topics

Beyond the basics: SVD, quadratic forms, tensors, and how linear algebra powers modern science and technology.

4
Courses
14-18
Hours
Advanced
Level

Courses

LA-8.1
Singular Value Decomposition
Available
The most important matrix factorization
4-5 hours
SVD Definition
Computation
Low-Rank Approximation
PCA
LA-8.2
Quadratic Forms
Available
Quadratic forms and their classification
3-4 hours
Definition
Matrix Representation
Sylvester's Law
Positive Definite
LA-8.3
Multilinear Algebra
Available
Tensors and multilinear maps
4-5 hours
Tensor Products
Multilinear Maps
Exterior Algebra
Applications
LA-8.4
Applications
Available
Linear algebra in science and engineering
3-4 hours
Computer Graphics
Machine Learning
Quantum Mechanics
Network Analysis