Matrix Theory Courses and Certifications

Matrix Theory and Applications

Master linear algebra and matrix decompositions, covering least squares, optimization, and machine learning applications—tailored for EE, CSE, and AI/Data Science undergraduates with no prior ML experience required.

• Swayam
• Self-Paced
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Strong Convergence in Random Matrix Theory - Part 2

Delve into advanced concepts of strong convergence in random matrices, exploring applications in operator algebras, geometry, and random graphs through Princeton expert Ramon van Handel's analysis.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Matrix Concentration and Strong Convergence in Random Matrix Theory

Delve into advanced mathematical concepts of matrix concentration and strong convergence, exploring applications in operator algebras, random surfaces, and graph theory through novel analytical approaches.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Tom Rocks Maths

Oxford Linear Algebra - How to Find a Matrix Inverse Using Elementary Row Operations

Learn to calculate matrix inverses using Elementary Row Operations (ERO's) with clear explanations and worked examples for 2x2 and 4x4 matrices, including the case of non-invertible matrices.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Maxel Algebra I - Data Structures in Mathematics Math Foundations

Explore maxel algebra, a new matrix theory focusing on idempotent diagonal maxels and sets of natural numbers. Learn about multiplication, identity maxels, and key propositions in this mathematical foundation.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Maxel Theory - New Thinking About Matrices II - Data Structures Math Foundations

Exploring maxel theory as an extension of matrix theory, focusing on multiset views, distributive and associative laws, 1-maxels, and frames. Introduces new terminology and notation for a data structure-oriented approach.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Miracle of Integer Eigenvalues in Finite Poset Matrices

Explore the fascinating connection between finite posets and integer eigenvalues in matrix theory, with implications for symmetric group representations.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Maxel Theory: New Thinking About Matrices - Math Foundations 166

Explore Maxel theory, a novel approach to matrix theory using pixels. Learn about maxel algebra, multiplicative structure, and applications in linear algebra.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

NPTEL;  IISc Bangalore

Advanced Matrix Theory and Linear Algebra for Engineers

1 rating

Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.

• YouTube
• 1 day 14 hours
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Fiber Symmetrization in the Space of Matrices

Explore fiber symmetrization in matrix spaces, its properties, and applications to isoperimetric inequalities for convex bodies, generalizing Steiner symmetrization to higher dimensions.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

BIMSA

Strong Convergence of Matrices - Results and Applications

Explore advanced matrix theory through strong convergence results and their practical applications in mathematical analysis.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Hypergeometric Matrix Models and their Duals

Explore hypergeometric functions of complex matrices, their connections to algebraic combinatorics, and a novel approach to approximating these functions using Hurwitz theory concepts.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Simons Institute

Sublinear Time Eigenvalue Approximation via Random Sampling

Explore efficient algorithms for approximating eigenvalues of large matrices using random sampling techniques, with applications in data analysis and machine learning.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Limiting Eigenvalue Distribution and Outliers of Deformed Single Ring Random Matrices

Explore advanced mathematical concepts in eigenvalue distribution and outliers of deformed single ring random matrices, focusing on Brown measure convergence and probability theory.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

On Universal Quadratic Inequalities for Minors of TNN Matrices

Discover universal quadratic inequalities for minors of totally non-negative matrices through advanced mathematical analysis and theoretical frameworks.

• YouTube
• 58 minutes
• Self-Paced
• Free Video