Vector Spaces Courses and Certifications

Matrix Algebra for Engineers

883 reviews

This course is all about matrices, and concisely covers the linear algebra that an engineer should know. We define matrices and how to add and multiply them, and introduce some special types of matrices.

• Coursera
• 19 hours 35 minutes
• On-Demand
• Paid Course

• Best of All Time

Tom Rocks Maths

Oxford Linear Algebra - Dimension Formula for Vector Spaces

Explore the dimension formula for vector spaces through worked examples and a complete proof. Learn to calculate dimensions of subspaces and their intersections in R^4.

• YouTube
• 43 minutes
• On-Demand
• Free Video

HyperComplex Seminar

Monogenic Functions in Infinite-Dimensional Vector Spaces with Commutative Multiplication and Harmonic Vectors

Explore monogenic functions in infinite-dimensional vector spaces, their relation to spatial harmonic functions, and implications for complex analysis beyond traditional Cauchy integral formulas.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Natural Language Processing with Classification and Vector Spaces

4633 ratings at Coursera

This is the Course 1 of the Natural Language Processing Specialization, offered by deeplearning.ai

• Coursera
• 1 day 9 hours 23 minutes
• On-Demand
• Paid Course

Linear Algebra

8 reviews

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.

• MIT OpenCourseWare
• 36 hours
• On-Demand
• Free Video

Tom Rocks Maths

Oxford Linear Algebra - What is a Vector Space?

Explore vector space axioms with concrete examples, including addition and scalar multiplication maps, 8 key axioms, and proofs for 3D coordinate vectors. Gain insights into unique properties of vector spaces.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Linear Algebra - Foundations to Frontiers

15 reviews

Learn the mathematics behind linear algebra and link it to matrix software development.

• edX
• 15 weeks, 6-10 hours a week
• On-Demand
• Free Online Course (Audit)

Khan Academy

Vector Examples - Vectors and Spaces - Linear Algebra - Khan Academy

Explore visual understanding of basic vector operations in linear algebra. Learn to visualize and manipulate vectors in multiple dimensions, enhancing your grasp of mathematical concepts.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Lattice Topological Phases - IPAM at UCLA

Explore lattice topological phases with Fiona Burnell, covering lattice Hamiltonians, vector spaces, local rules, and gauge choices in this comprehensive lecture on advanced quantum physics concepts.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Center for Language & Speech Processing(CLSP), JHU

Exploring Geometric Representational Disparities Between Multilingual and Bilingual Translation Models

Analyze geometric differences in representations from bilingual vs. multilingual translation models, focusing on isotropy and intrinsic dimensionality to understand performance disparities.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Model Theory of Generic Vector Space Endomorphisms

Explore model-complete theories defining vector spaces and characterize existentially closed models with endomorphism expansions, including criteria for model companions.

• YouTube
• 58 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Vector Spaces: Introduction

Explore fundamental concepts of vector spaces, laying the groundwork for advanced linear algebra and mathematical analysis.

• YouTube
• 25 minutes
• On-Demand
• Free Video

Linear Algebra Essentials

Discover fundamental Linear Algebra concepts including vectors, transformations, and matrices with practical applications in AI and neural networks.

• Udacity
• 9 hours
• On-Demand
• Paid Course

Michael Penn

The Vector Spaces for Vertex Algebras

Explore key vector spaces for vertex algebras: polynomial rings, exterior algebras with infinite variables, and universal enveloping algebra of the Virasoro Lie algebra. Gain essential understanding for advanced algebraic studies.

• YouTube
• 21 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Linear Combinations and Span - Introduction to Vector Spaces

Explore linear combinations and span concepts through intuitive explanations and graphical illustrations. Master fundamental linear algebra principles.

• YouTube
• 17 minutes
• On-Demand
• Free Video