Matrix Theory Courses and Certifications

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

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
• On-Demand
• Free Online Course

Differential Equations Part I Basic Theory

1367 ratings at Coursera

Explore basic theory, methods, and applications of differential equations, building on calculus and matrix knowledge for practical use across various fields.

• Coursera
• 14 hours 30 minutes
• On-Demand
• Free Online Course (Audit)

Differential Equations Part III Systems of Equations

Explore systems of linear equations and stability of autonomous systems in differential equations, building on calculus and matrix theory knowledge.

• Coursera
• 10 hours 25 minutes
• On-Demand
• Free Online Course (Audit)

Differential Equations Part II Series Solutions

10 ratings at Coursera

Learn advanced techniques for solving differential equations, including series solutions, Frobenius method, and special functions like Bessel and Legendre polynomials.

• Coursera
• 14 hours 21 minutes
• On-Demand
• Free Online Course (Audit)

NPTEL;  IISc Bangalore

Advanced Matrix Theory and Linear Algebra for Engineers

1 review

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

• YouTube
• 1 day 14 hours
• On-Demand
• Free Online Course

IIT Roorkee;  NPTEL

Essential Mathematics for Machine Learning

Explore essential mathematical concepts for machine learning, including linear algebra, calculus, optimization, and probability theory. Gain foundational knowledge to develop new algorithms and understand ML applications.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

IIT Roorkee;  NPTEL

Matrix Analysis with Applications

Comprehensive exploration of matrix theory and applications, covering computations, transformations, iterative methods, and specialized topics for engineering and science students.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

Eigenvalues

Explore eigenvalues through diverse applications, from Zelda to Pokémon battles. Master matrix operations, differential equations, and advanced concepts like Jordan Canonical Form.

• YouTube
• 7 hours
• On-Demand
• Free Online Course

Advanced Matrix Theory and Linear Algebra for Engineers

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

• YouTube
• 1 day 8 hours
• On-Demand
• Free Online Course