Vector Spaces Courses and Certifications

Linear Algebra

8 ratings

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
• Self-Paced
• 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
• Self-Paced
• Free Video

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
• Self-Paced
• 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
• Self-Paced
• Free Video

Mathematics for Machine Learning: PCA

3186 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
• Self-Paced
• Paid Course

International Centre for Theoretical Sciences

Finite Dimensional Vector Spaces - An Overview

Comprehensive overview of finite dimensional vector spaces, exploring key concepts, properties, and applications in linear algebra and mathematical analysis.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Infinite Dimensional Vector Spaces - Class 5 - Part 1

Dive into infinite dimensional vector spaces with Oscar Reula in this analytical exploration of partial differential equations, part of ICTP-SAIFR's minicourse on PDEs.

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

Wrath of Math

Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

Explore isomorphic vector spaces and their properties, including examples and proofs. Learn how all n-dimensional spaces relate to R^n and understand key concepts in linear algebra.

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

Wrath of Math

General Linear Transformations on Vector Spaces

Explore general linear transformations on vector spaces, their properties, and examples. Learn to distinguish between linear and non-linear transformations in this comprehensive overview.

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

Fields Institute

There Is a Completely Separable Mad Family of Vector Spaces

Explore advanced set theory concepts through the construction and properties of completely separable maximal almost disjoint families in vector space contexts.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Vector Spaces

Explore vector spaces through 25 examples, covering subspaces, unions, spans, and theorems. Delve into dimensions, including infinite ones, and learn about Lagrange Interpolation and Zorn's Lemma.

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

Vector Spaces

Explora espacios vectoriales, subespacios, independencia lineal, coordenadas, bases y dimensiones, y más en este detallado estudio de álgebra lineal.

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

Embedding-Based Recommendation with Similarity Scoring

Master embedding-based music recommendations using vector transformations, cosine similarity, and clustering to build personalized suggestion systems.

• CodeSignal
• 2 hours
• Self-Paced
• Free Certificate

Linear Algebra: Linear Systems and Matrix Equations

179 ratings at Coursera

Explore linear systems, matrices, and vector equations, gaining foundational skills in linear algebra. Learn to solve and classify linear systems, understand linear transformations, and apply concepts to real-world problems.

• Coursera
• 10 hours 9 minutes
• Self-Paced
• Paid Course

Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors

79 ratings at Coursera

Develop matrix algebra techniques, study determinants, and explore eigenvectors to analyze linear transformations. Apply concepts to Markov chains and Google PageRank algorithm.

• Coursera
• 14 hours 53 minutes
• Self-Paced
• Paid Course