Eigenvectors Courses and Certifications

Linear Algebra for Data Science in R

This course is an introduction to linear algebra, one of the most important mathematical topics underpinning data science.

• DataCamp
• 4 hours
• Self-Paced
• Free Trial Available

Facial Recognition: Eigenvectors and Covariance Matrices - Lecture 14

Explore facial recognition technology, from simple approaches to advanced techniques using eigenvectors and covariance matrices. Learn about challenges and solutions in this field.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Invariant Subspaces, Eigenvalues, and Eigenvectors

Explore invariant subspaces, eigenvalues, and eigenvectors to deepen your understanding of linear algebra concepts and their applications.

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

Simons Foundation

Delocalization of Eigenvectors of Random Matrices - A Survey (February 20, 2025)

Explore Terence Tao's comprehensive survey on eigenvector delocalization in random matrices, examining key mathematical principles and recent developments in this complex field.

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

Serrano.Academy

Discrete Dynamical Systems - Eigenvalues and Eigenvectors

Explore eigenvalues and eigenvectors in discrete dynamical systems, a key component of linear algebra for machine learning, with practical applications and computational examples.

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

Discover AI

The Eigenvectors of AI - Shared LoRA Subspaces for Continual Learning

Explore shared LoRA subspaces for continual learning, examining eigenvector approaches to prevent catastrophic forgetting in AI systems through innovative parameter-efficient methods.

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

Hausdorff Center for Mathematics

Landscape Function and Its Relations With Eigenvectors of a Schrödinger Operator

Explore landscape functions and their connections to Schrodinger operator eigenvectors, covering effective potentials, energy computations, and exponential decay in various contexts.

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

Wrath of Math

Power Method for Dominant Eigenvalues and Eigenvectors in Linear Algebra

Learn to approximate dominant eigenvalues and eigenvectors using the power method with maximum entry and Euclidean scaling. Explore power sequences, Rayleigh quotient, and geometric intuition in linear algebra.

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

NPTEL-NOC IITM

The Spectral Theorem - Every Symmetric Matrix Has n Orthogonal Eigenvectors

Discover how every symmetric matrix possesses n orthogonal eigenvectors through the fundamental spectral theorem and its rigorous mathematical proof.

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

NPTEL-NOC IITM

Introduction to Eigenvalues and Eigenvectors

Discover eigenvalues and eigenvectors fundamentals, exploring how distinct eigenvalues yield independent eigenvectors and symmetric matrices produce real eigenvalues with orthogonal eigenvectors.

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

Centre de recherches mathématiques - CRM

Mathematics that Resonates - Eigenvalues and Eigenvectors in Acoustics, Engineering, and Quantum Mechanics

Explore how eigenvalues and eigenvectors explain resonances in cello tones, microwaves, car noise reduction, and fusion reactors through surprising mathematical connections.

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

Fields Institute

Delocalization of Eigenvectors of Large Random Matrices

Explore eigenvector delocalization in large random matrices, examining mathematical concepts and implications for probability theory and matrix analysis.

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

Navigating Data Simplification with PCA

Master dimensionality reduction techniques using Principal Component Analysis (PCA) with Python's Scikit-learn, from basic concepts to practical implementation in machine learning projects.

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

Career Certificate

Linear Algebra Programming with NumPy

Master linear algebra fundamentals with NumPy through hands-on programming exercises, covering vectors, matrices, eigenvalues, and practical applications in data science and machine learning.

• CodeSignal
• 10 hours
• Self-Paced
• Free Certificate
• 3 courses

Basic Linear Algebra with SciPy

Master SciPy's linear algebra capabilities for solving equations, understanding eigenvalues, matrix decomposition, and working with sparse matrices in Python.

• CodeSignal
• 1 hour
• Self-Paced
• Free Certificate