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Massachusetts Institute of Technology

MIT - A 2020 Vision of Linear Algebra, Spring 2020

1 rewiews
Professor Strang presents a fresh approach to linear algebra, focusing on matrices. This concise series covers key concepts like column space, orthogonality, eigenvalues, and solving linear systems.
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7 Lesons
1 hour 30 minutes
On-Demand
Free-Video
NPTEL

Linear Algebra

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In this course, you will learn systems of linear equations, Matrices, Elementary row operations, Row-reduced echelon matrices. Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates.
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52 Lesons
1 day 16 hours
On-Demand
Free-Video

Linear Algebra

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Comprehensive exploration of linear algebra concepts, from basic operations to advanced topics like eigenvalues, with practical applications and problem-solving techniques.
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30 Lesons
7 hours
On-Demand
Free-Video
NPTEL

Applied Linear Algebra

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Explore vector spaces, linear maps, eigenvalues, and applications in systems, algorithms, and optimization. Gain practical skills in linear algebra for various fields.
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48 Lesons
1 day
On-Demand
Free-Video
University of Central Florida

Face Recognition Techniques and Applications - Lecture 14

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Explore face recognition techniques, from simple approaches to advanced methods like PCA and Linear Discriminant Analysis. Learn about eigenvectors, image compression, and scatter matrices.
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13 Lesons
1 hour 11 minutes
On-Demand
Free-Video
University of Central Florida

Facial Recognition: Eigenvectors and Covariance Matrices - Lecture 14

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Explore facial recognition technology, from simple approaches to advanced techniques using eigenvectors and covariance matrices. Learn about challenges and solutions in this field.
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12 Lesons
1 hour 22 minutes
On-Demand
Free-Video

Linear Algebra

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Comprehensive exploration of linear algebra concepts, from basic matrix operations to complex numbers, with practical examples and geometric applications.
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92 Lesons
14 hours
On-Demand
Free-Video

A Second Course in Differential Equations

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Explore advanced topics in ordinary differential equations, including linear systems, eigenvalues, numerical methods, and Python implementations for solving complex ODEs.
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38 Lesons
5 hours
On-Demand
Free-Video

Linear Algebra - Vol 2

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Explore advanced linear algebra concepts including transformation matrices, determinants, cofactors, eigenvalues, and eigenvectors through comprehensive lessons and practical examples.
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21 Lesons
1 hour 30 minutes
On-Demand
Free-Video

Grade 11 Maths - Matrices

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Explore matrices, determinants, and their applications in solving systems of equations, including Cramer's rule, for Ethiopian Grade 11 mathematics.
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7 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Professor Dave Explains

Linear Algebra

0 rewiews
Comprehensive exploration of linear algebra concepts, from matrices and vector spaces to eigenvalues and transformations, with practical applications and in-depth explanations.
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21 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Academic Lesson

Linear Algebra for Quantum Mechanics

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Explore essential linear algebra concepts for quantum mechanics, including linear transformations, eigenvectors, and Hermitian operators, enhancing your understanding of mathematical formalism in quantum physics.
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5 Lesons
2 hours 7 minutes
On-Demand
Free-Video
Steve Brunton

Systems of Differential Equations - Diagonalization and Jordan Canonical Form

0 rewiews
Explore diagonalization and Jordan Canonical Form for systems of differential equations, covering eigenvectors, complex conjugates, repeated eigenvalues, and general matrix applications.
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7 Lesons
34 minutes
On-Demand
Free-Video
Steve Brunton

Non-Normal Linear Systems and Transient Energy Growth - Bypass Transition to Turbulence

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Explore non-normal linear systems and their role in turbulence, including examples, code demonstrations, and applications in fluid dynamics and bypass transition.
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7 Lesons
30 minutes
On-Demand
Free-Video
Steve Brunton

Drawing Phase Portraits for Nonlinear Systems

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Learn to analyze nonlinear systems by drawing phase portraits, identifying fixed points, linearizing, and inferring global dynamics. Gain practical skills in stability analysis using eigenvalues and eigenvectors.
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7 Lesons
26 minutes
On-Demand
Free-Video
Steve Brunton

Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points

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Explore imaginary eigenvalues and center fixed points in 2D ODE systems. Learn to compute eigenvectors, write solutions, and understand geometric intuition behind rotational dynamics.
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7 Lesons
38 minutes
On-Demand
Free-Video
Steve Brunton

Systems of ODEs - Saddle Points and Instability

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Explore unstable saddle points in 2D linear ODEs, their applications in energy-efficient transport, and analysis using eigenvalues, eigenvectors, and phase portraits.
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5 Lesons
28 minutes
On-Demand
Free-Video
Steve Brunton

Eigenvalues and Eigenvectors

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Explore eigenvalues and eigenvectors, key concepts in linear algebra. Learn to compute them for any matrix, understand their significance in transformations, and apply them to solve complex linear systems.
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7 Lesons
34 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Mathematik für Ingenieure 3

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Umfassende Einführung in mehrdimensionale Integration und Vektoranalysis für Ingenieure, mit Fokus auf praktische Anwendungen und Problemlösungen in der höheren Mathematik.
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48 Lesons
21 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Linear Algebra

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Umfassende Einführung in die lineare Algebra mit Schwerpunkt auf Matrizen, Determinanten, Eigenwerte und komplexe Zahlen. Praktische Anwendungen und Übungen vertiefen das Verständnis.
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40 Lesons
20 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria Ergódica Diferenciável - Aula 17

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Explore advanced concepts in Differentiable Ergodic Theory, including ergodic equivalence, partitions, spectral equivalence, and mixing in this doctoral-level mathematics lecture.
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7 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Steve Brunton

Linear Systems - Control Bootcamp

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Analyze ordinary differential equations using eigenvalues and eigenvectors, laying the foundation for linear control theory in this comprehensive mathematical exploration.
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1 Lesons
25 minutes
On-Demand
Free-Video
Serrano.Academy

Principal Component Analysis

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Explore dimensionality reduction through PCA, covering variance, covariance, eigenvectors, and eigenvalues. Learn key concepts with visual explanations and practical applications in data analysis.
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13 Lesons
27 minutes
On-Demand
Free-Video
Insights into Mathematics

Generalized Dilations and Eigenvalues - Wild Linear Algebra A - NJ Wildberger

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Explore coordinate systems, basis changes, and similar matrices in linear algebra. Learn about generalized dilations and the fundamental concept of eigenvalues and eigenvectors.
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13 Lesons
56 minutes
On-Demand
Free-Video
Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

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Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.
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9 Lesons
32 minutes
On-Demand
Free-Video
Steve Brunton

Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

0 rewiews
Learn to solve systems of linear ODEs using eigenvalues and eigenvectors. Covers problem setup, solution methods, and intuitive interpretation, with code examples in Python and MATLAB.
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6 Lesons
22 minutes
On-Demand
Free-Video
Steve Brunton

Motivating Eigenvalues and Eigenvectors with Differential Equations

0 rewiews
Explore eigenvalues and eigenvectors through differential equations, deriving key concepts and visualizing their applications in matrix systems for a deeper understanding of linear algebra.
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7 Lesons
24 minutes
On-Demand
Free-Video
Steve Brunton

Matrix Systems of First Order Equations Using Eigenvectors and Eigenvalues

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Explore matrix systems of first-order equations, diagonalization techniques, and higher-order linear ODEs. Learn to solve complex differential equations using eigenvectors and eigenvalues.
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5 Lesons
48 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Landscape Function and Its Relations With Eigenvectors of a Schrödinger Operator

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Explore landscape functions and their connections to Schrodinger operator eigenvectors, covering effective potentials, energy computations, and exponential decay in various contexts.
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9 Lesons
44 minutes
On-Demand
Free-Video
Khan Academy

Null Space and Column Space Basis - Vectors and Spaces - Linear Algebra - Khan Academy

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Learn to determine null space and column space basis for matrices, essential concepts in linear algebra for understanding vector spaces and transformations.
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1 Lesons
25 minutes
On-Demand
Free-Video
Khan Academy

Linear Subspaces - Vectors and Spaces - Linear Algebra

0 rewiews
Explore linear subspaces in Rn, a fundamental concept in linear algebra. Learn to visualize and understand multi-dimensional mathematical reasoning through vectors, matrices, and transformations.
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1 Lesons
23 minutes
On-Demand
Free-Video
Khan Academy

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

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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.
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1 Lesons
26 minutes
On-Demand
Free-Video
Khan Academy

Another Example of a Projection Matrix - Linear Algebra - Khan Academy

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Learn to calculate projection matrices by first determining the orthogonal complement's matrix. This advanced linear algebra lesson explores subspace projections and their applications in multidimensional reasoning.
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1 Lesons
22 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Random Matrix Theory and its Applications - Lecture 2

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Explore advanced concepts in random matrix theory, including linear algebra basics, operators, transformations, eigenvectors, and various matrix ensembles, with applications in statistical physics.
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21 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Professor Dave Explains

Finding Eigenvalues and Eigenvectors

0 rewiews
Explore eigenvalues and eigenvectors in linear algebra, their importance in math and physics, and learn how to find them through clear explanations and examples.
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6 Lesons
17 minutes
On-Demand
Free-Video
ICTP Mathematics

Noise Sensitivity of the Top Eigenvector of a Wigner Matrix

0 rewiews
Explore the noise sensitivity of Wigner matrices' top eigenvectors, delving into random matrix theory and its applications in mathematical physics and data analysis.
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1 Lesons
41 minutes
On-Demand
Free-Video
Simons Institute

Graph Linear Algebra Part 1

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Explore fundamental concepts of graph linear algebra, focusing on matrices, spectral theory, and their applications in algorithmic graph theory and network analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

Graph Linear Algebra Part 2

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Explore advanced concepts in graph linear algebra, focusing on data structures and optimization techniques for developing efficient algorithms.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Steve Brunton

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

0 rewiews
Explore 2x2 systems of ODEs, eigenvalues, eigenvectors, and phase portraits in engineering mathematics. Learn to analyze and visualize complex dynamical systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Steve Brunton

Eigenvalues, Eigenvectors, and Dynamical Systems

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Explore eigenvalues, eigenvectors, and dynamical systems in engineering mathematics, focusing on their applications and significance in solving complex problems.
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1 Lesons
47 minutes
On-Demand
Free-Video
Tom Rocks Maths

Oxford Linear Algebra - Eigenvalues and Eigenvectors Explained

0 rewiews
Comprehensive tutorial on calculating eigenvalues and eigenvectors of matrices, featuring two worked examples. Covers the eigenvalue equation, characteristic polynomial, and step-by-step solutions for 2x2 and 3x3 matrices.
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1 Lesons
26 minutes
On-Demand
Free-Video
Fields Institute

Delocalization of Eigenvectors of Large Random Matrices

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Explore eigenvector delocalization in large random matrices, examining mathematical concepts and implications for probability theory and matrix analysis.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Finite Dimensional Vector Spaces - An Overview

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Comprehensive overview of finite dimensional vector spaces, exploring key concepts, properties, and applications in linear algebra and mathematical analysis.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Gautam Varde

Diagonalization of a Matrix - Numerical Examples in Linear Algebra

0 rewiews
Learn to diagonalize matrices through clear examples, enhancing your understanding of linear algebra and its applications in various mathematical and scientific fields.
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1 Lesons
11 minutes
On-Demand
Free-Video
Mathemaniac

The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures

0 rewiews
Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.
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1 Lesons
16 minutes
On-Demand
Free-Video
Wrath of Math

Orthogonal Diagonalization Explained - Linear Algebra

0 rewiews
Explore orthogonal diagonalization in linear algebra, covering symmetric matrices, eigenvectors, and the Gram-Schmidt process. Includes step-by-step examples and proofs of key theorems.
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9 Lesons
17 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 1

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Explore non-commutative geometry with John Barrett, covering algebraic concepts, reconstruction theorems, and differential operators. Gain insights into fuzzy spaces and Hermitian operators.
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17 Lesons
1 hour 41 minutes
On-Demand
Free-Video
Wrath of Math

Power Method for Dominant Eigenvalues and Eigenvectors in Linear Algebra

0 rewiews
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.
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14 Lesons
21 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Invariant Subspaces, Eigenvalues, and Eigenvectors

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Explore invariant subspaces, eigenvalues, and eigenvectors to deepen your understanding of linear algebra concepts and their applications.
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1 Lesons
34 minutes
On-Demand
Free-Video
Conference GSI

Perturbation of Fiedler Vector: Interest for Graph Measures and Shape Analysis

0 rewiews
Explore Fiedler vector perturbation and its applications in graph measures and shape analysis, gaining insights into advanced mathematical concepts.
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1 Lesons
21 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Stationary Distribution of a Markov Chain

0 rewiews
Explore the concept of stationary distribution in Markov chains, understanding its properties and applications in probability theory and stochastic processes.
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1 Lesons
18 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Properties of Eigenvalues

0 rewiews
Explore key properties of eigenvalues in linear algebra, enhancing understanding of matrix transformations and their applications in various fields.
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1 Lesons
12 minutes
On-Demand
Free-Video
Dot Physics

Solving the 2x2 Eigenvalue Problem - Also with Python

0 rewiews
Explore eigenvalues and eigenvectors for a 2x2 matrix, with practical Python implementation for solving complex linear algebra problems.
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1 Lesons
17 minutes
On-Demand
Free-Video
Prof. Ryan C. Cooper

Linear Algebra in NumPy and SciPy - ME3255

0 rewiews
Learn essential linear algebra operations using NumPy and SciPy libraries in Python for efficient numerical computations and data analysis.
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1 Lesons
32 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Sensitivity Conjecture: A Proof from the Book and Connections to Physics

0 rewiews
Explore the elegant proof of the Sensitivity Conjecture, its implications for theoretical computer science, and connections to physics concepts like Majorana fermions.
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7 Lesons
1 hour 14 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Perturbation Methods for Nonlinear PDEs - Lecture 3

0 rewiews
Explore advanced perturbation techniques for nonlinear PDEs, focusing on multiple scales, asymptotic analysis, and the interplay between linear waves and nonlinearity in various scientific contexts.
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16 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Wolfram

Classical and Quantum Subjectivity in Uncertainty and Belief Systems

0 rewiews
Explore uncertainty in subjective logic, from Markov networks to quantum quasiprobabilities, gaining insights on computational irreducibility and belief spaces.
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8 Lesons
33 minutes
On-Demand
Free-Video
Dot Physics

Physics Python Warm Up Questions Using Numpy

0 rewiews
Master Python for physics: import libraries, create arrays, plot data, manipulate matrices, calculate eigenvalues, and handle complex data structures.
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1 Lesons
19 minutes
On-Demand
Free-Video
Ryan O'Donnell

All the Planes of Rotation for IncrL - Quantum Computer Programming - Lesson 91

0 rewiews
Explore all 2-D rotation planes for the Increment-mod-L operator in quantum computing, advancing understanding of quantum operations and transformations.
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1 Lesons
22 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Técnicas Espectrais para Detecção de Comunidades

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Explore técnicas espectrais para detecção de comunidades em redes complexas, abordando decomposição de autovalores, otimização de modularidade e agrupamento espectral para análise eficiente de padrões.
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1 Lesons
55 minutes
On-Demand
Free-Video
BIMSA

An ℓp Theory of PCA and Spectral Clustering

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Explore an advanced $\ell_p$ theory of PCA, improving upon vanilla PCA for heteroscedastic noises and yielding optimal bounds for spectral clustering and community detection.
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1 Lesons
49 minutes
On-Demand
Free-Video
UofU Data Science

Singular Value Decomposition and Rank-K Approximation - Lecture 19

0 rewiews
Dive into Singular Value Decomposition (SVD) concepts, exploring vector path tracing and rank-k approximation techniques for advanced matrix analysis and dimensionality reduction.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
UofU Data Science

Spectral Clustering and Graph Partitioning - Data Mining Spring 2023

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Master spectral clustering concepts through graph theory, Laplacians, eigenvalues, and practical algorithms for data partitioning and similarity analysis.
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12 Lesons
1 hour 20 minutes
On-Demand
Free-Video