Vector Spaces Courses and Certifications

Matrix Algebra for Engineers

767 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 31 minutes
• On-Demand
• Free Online Course (Audit)

• Best of All Time

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

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

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

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

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)

Linear Algebra

3 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

Linear Algebra

Master matrix theory and linear algebra, exploring systems of equations, vector spaces, determinants, eigenvalues, and applications in various disciplines. Gain practical skills for solving complex mathematical problems.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Mathematics for Machine Learning: PCA

3101 ratings at Coursera

Explore mathematical foundations of Principal Component Analysis (PCA) for dimensionality reduction. Learn statistics, inner products, orthogonal projections, and derive PCA from a geometric perspective.

• Coursera
• 20 hours 39 minutes
• On-Demand
• Free Online Course (Audit)

Natural Language Processing with Classification and Vector Spaces

4475 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
• Free Online Course (Audit)

Linear Algebra Basics

Explore vector spaces, linear transformations, eigenvalues, and matrix decompositions. Gain essential mathematical foundations for machine learning and data science applications.

• Coursera
• 21 hours 9 minutes
• On-Demand
• Free Online Course (Audit)

Math For Video Games: The Fastest Way To Get Smarter At Math

1816 ratings at Udemy

Learn Math for Video Game Design & Coding through Solving fun Video Game Problems

• Udemy
• 13 hours 23 minutes
• On-Demand
• Paid Course

Master Linear Algebra 2020: The Complete Study Of Spaces

383 ratings at Udemy

Learn How to Define Space And How it is Characterized And Measured. We Make Linear Algebra Math Fun And Easy.

• Udemy
• 12 hours
• On-Demand
• Paid Course

Linear Algebra and Geometry 2

220 ratings at Udemy

Much more about matrices; abstract vector spaces and their bases; linear transformations animated with MANIM

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

Linear Algebra and Geometry 3

94 ratings at Udemy

Inner product spaces, quadratic forms, symmetric matrices: more advanced problem solving; singular value decomposition

• Udemy
• 2 days 2 hours 59 minutes
• On-Demand
• Paid Course