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NPTEL

Advanced Matrix Theory and Linear Algebra for Engineers

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Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
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40 Lesons
1 day 14 hours
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
NPTEL

Basic Linear Algebra

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Linear Algebra is a basic course for students intended to go for Engineering studies and higher studies in Mathematics. We will cover the basic tools needed in these branches.
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41 Lesons
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

Differential Calculus in Several Variables

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This is part of a standard course contents in Several Variable Calculus. The idea of the course is to provide students with different backgrounds a common platform to take up further topics in Mathematics, Physics and Engineering.
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21 Lesons
9 hours
On-Demand
Free-Video
NPTEL

Linear Algebra

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The main purpose of this course is the study of linear operators on finite dimensional vector spaces. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications.
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60 Lesons
1 day 9 hours
On-Demand
Free-Video

Linear Transformations

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Explora transformaciones lineales, independencia lineal, teoremas clave y aplicaciones prácticas en álgebra lineal.
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33 Lesons
7 hours
On-Demand
Free-Video

Linear Equations

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Aprende sobre eliminación gaussiana, independencia lineal, transformaciones lineales y matrices de rotación en 1.5 horas.
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12 Lesons
1 hour 30 minutes
On-Demand
Free-Video
NIOS

Advanced Matrix Theory and Linear Algebra for Engineers

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Comprehensive exploration of advanced linear algebra concepts for engineers, covering vector spaces, transformations, orthogonality, diagonalization, and singular value decomposition.
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34 Lesons
1 day 8 hours
On-Demand
Free-Video
Professor Knudson

Transformations of Random Variables

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Explore linear transformations, sums, and monotone functions in random variables, enhancing your understanding of probability theory and statistical analysis.
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10 Lesons
30 minutes
On-Demand
Free-Video
Professor Dave Explains

Linear Algebra

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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
The Julia Programming Language

Transformations - Composability and Linearity in Computational Thinking - Lecture 4

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Explore composability and linearity in transformations, focusing on image processing applications and advanced Julia programming techniques for vector-valued functions and linear/nonlinear transformations.
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12 Lesons
55 minutes
On-Demand
Free-Video
The Julia Programming Language

Transformations and Automatic Differentiation in Computational Thinking - Lecture 3

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Explore transformations and automatic differentiation in Julia, covering linear and non-linear transformations, function types, and applications in machine learning, with practical examples and visualizations.
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20 Lesons
54 minutes
On-Demand
Free-Video
Insights into Mathematics

Arrays and Matrices II - Data Structures in Mathematics Math Foundations

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Explore matrices from traditional linear algebra to a novel data structure approach. Learn matrix multiplication, algebra, and a new perspective using pixels and maxels.
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9 Lesons
31 minutes
On-Demand
Free-Video
Insights into Mathematics

Rational Trigonometry, Generalized Triangle Geometry and Four-Fold Incenter Symmetry

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Explores rational trigonometry and generalized triangle geometry, introducing quadrances, spreads, and chromogeometry. Discusses Euler lines, incenters, and various triangle centers, culminating in a novel result on colored incenters.
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33 Lesons
50 minutes
On-Demand
Free-Video
Insights into Mathematics

Solving a System of Linear Equations - Wild Linear Algebra A

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Explore systems of linear equations, matrix forms, row reduction, and echelon forms. Learn key concepts and techniques for solving complex linear algebra problems efficiently.
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22 Lesons
49 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
Insights into Mathematics

Applications of 3x3 Matrices - Wild Linear Algebra A

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Explore 3x3 matrices and their applications in 3D space, covering dilations, reflections, rotations, and projections. Learn key concepts and formulas for linear transformations in three dimensions.
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27 Lesons
54 minutes
On-Demand
Free-Video
Insights into Mathematics

More Applications of 2x2 Matrices - Wild Linear Algebra A

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Explores advanced applications of 2x2 matrices in linear algebra, covering rotations, reflections, composition of transformations, and connections to calculus, with a focus on linear approximations and derivatives.
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18 Lesons
55 minutes
On-Demand
Free-Video
Insights into Mathematics

Linear Algebra With Polynomials - Wild Linear Algebra A

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Explore polynomials in linear algebra, covering interpolation, regression, and isomorphism. Learn to apply geometric approaches to transformations and connect polynomial spaces with vector spaces.
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26 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

The Geometry of a System of Linear Equations - Wild Linear Algebra A

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Explore the geometry of linear equations through a novel approach using properties instead of infinite sets. Gain insights into subspaces, kernel, and linear transformations with practical examples.
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31 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Insights into Mathematics

Rank and Nullity of a Linear Transformation - Wild Linear Algebra A - NJ Wildberger

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Explore linear transformations in higher dimensions, focusing on kernel, image, nullity, and rank. Learn to visualize 4D space and apply row reduction techniques to solve problems.
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19 Lesons
1 hour 1 minute
On-Demand
Free-Video
Insights into Mathematics

Bases of Polynomial Spaces - Wild Linear Algebra - NJ Wildberger

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Explore polynomial spaces through linear algebra, focusing on bases, translations, and derivatives. Gain insights into calculus concepts from an algebraic perspective, emphasizing practical applications and theoretical foundations.
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25 Lesons
1 hour
On-Demand
Free-Video
Insights into Mathematics

Applications of Row Reduction II - Wild Linear Algebra A

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Explore row reduction applications in linear transformations, spanning sets, and linear independence. Gain insights into vector spaces and matrix operations through practical examples and in-depth analysis.
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11 Lesons
57 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Robert Ghrist - Laplacians and Network Sheaves

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Explore cellular sheaves, Laplacians, and network dynamics in algebraic topology. Learn about sheaf cohomology computation and applications in decentralized methods.
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16 Lesons
48 minutes
On-Demand
Free-Video
NIOS

Advanced Engineering Mathematics

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Comprehensive exploration of advanced mathematical concepts, including complex analysis, transforms, probability, linear algebra, and more, with applications to engineering problems.
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36 Lesons
1 day 10 hours
On-Demand
Free-Video
Tom Rocks Maths

Oxford Linear Algebra - Linear Transformations Explained

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Explore linear transformations with Oxford mathematician Dr Tom Crawford, covering definitions, properties, and examples in R3, including matrix multiplication and differentiation.
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1 Lesons
33 minutes
On-Demand
Free-Video
StatQuest with Josh Starmer

Essential Matrix Algebra for Neural Networks

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Learn essential matrix algebra for neural networks, covering linear transformations, matrix operations, and their application in PyTorch and Attention mechanisms.
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11 Lesons
30 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Linear Algebra - Lecture 2

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Explore fundamental concepts of linear algebra, including vector spaces, linear transformations, and matrix operations, essential for understanding data assimilation techniques in atmospheric sciences.
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1 Lesons
1 hour 32 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
International Centre for Theoretical Sciences

Linear Algebra - Part I

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Explore fundamental concepts of linear algebra, including vector spaces, matrices, and linear transformations, laying the groundwork for advanced mathematical applications.
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1 Lesons
1 hour 38 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Vector Delannoy Categories and Further Developments

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Exploration of quantum analogues of Delannoy categories, focusing on constructions, properties, and connections to related mathematical concepts in symmetric tensor categories.
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1 Lesons
54 minutes
On-Demand
Free-Video
Wrath of Math

Orthogonal Matrices and Their Properties - Linear Algebra

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Explore orthogonal matrices: definition, examples, properties, and geometric interpretations. Learn about their equivalence to matrices with orthonormal row and column vectors.
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7 Lesons
17 minutes
On-Demand
Free-Video
Wrath of Math

Matrices for General Linear Transformations - Linear Algebra

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Explore transformation matrices for linear transformations, including coordinate translation, matrix multiplication, and formula derivation. Gain practical insights through examples and applications in linear algebra.
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8 Lesons
18 minutes
On-Demand
Free-Video
Wrath of Math

Composition of Linear Transformations - Linear Algebra

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Explore composition of linear transformations, including definitions, proofs, examples, and theorems. Learn about order, multiple compositions, and one-to-one transformations in linear algebra.
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10 Lesons
17 minutes
On-Demand
Free-Video
Wrath of Math

Inverse Linear Transformations - Definition and Properties

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Explore inverse linear transformations: definition, properties, and examples. Learn how to prove their one-to-one nature and find inverses in this concise, informative video on advanced linear algebra concepts.
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6 Lesons
14 minutes
On-Demand
Free-Video
Wrath of Math

One-to-One and Onto Linear Transformations in Linear Algebra

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Explore one-to-one and onto linear transformations, their properties, and examples. Learn about the equivalence between these concepts and their importance in linear algebra.
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11 Lesons
16 minutes
On-Demand
Free-Video
Wrath of Math

Kernel and Range of Linear Transformations in Linear Algebra

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Explore kernel and range in linear transformations, their definitions, examples, and proof of subspace properties. Gain insights into null space and column space extensions.
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9 Lesons
14 minutes
On-Demand
Free-Video
Wrath of Math

General Linear Transformations on Vector Spaces

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Explore general linear transformations on vector spaces, their properties, and examples. Learn to distinguish between linear and non-linear transformations in this comprehensive overview.
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13 Lesons
17 minutes
On-Demand
Free-Video
Dr Trefor Bazett

The Gaussian Algorithm Visualized: Geometric Interpretation and Linear Transformations

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Visualize the Gaussian algorithm's geometric meaning in linear algebra, exploring plane rotations and linear transformations to simplify systems of equations.
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8 Lesons
14 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Column Space, Null Space, and Rank of a Matrix

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Explore key concepts of linear algebra: column space, null space, and matrix rank. Learn general methods and practical applications through examples.
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6 Lesons
25 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Trace Theory: Trace Map and Its Range - Part 1

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Explore trace theory fundamentals, focusing on trace maps and their ranges in this concise introduction to the mathematical concept.
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1 Lesons
18 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Dimension - Lecture 2.3

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Explore the concept of dimension in mathematics, understanding its fundamental principles and applications in various fields.
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1 Lesons
40 minutes
On-Demand
Free-Video
Alfredo Canziani

Neural Nets - Rotation and Squashing

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Explore neural network fundamentals, including affine transformations, non-linearities, and PyTorch implementation. Learn about ReLU, tanh, and deep network architectures through intuitive explanations and coding examples.
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16 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Ryan O'Donnell

Unitary Transformations and the Elitzur-Vaidman Bomb - Quantum Computation at CMU

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Explore unitary transformations and the Elitzur-Vaidman bomb paradox in quantum computation, covering linear transformations, reflections, and allowable quantum operations.
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17 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Model Invariants and Functional Regularization

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Explore model invariants and functional regularization in quantitative finance. Learn about regression, MLE, Bayesian estimation, and new approaches to improve model robustness and interpretability in data analysis.
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23 Lesons
50 minutes
On-Demand
Free-Video
TheIACR

Faster Homomorphic Linear Transformations in HElib

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Explore advanced techniques for optimizing homomorphic linear transformations in HElib, enhancing efficiency in encrypted computations.
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1 Lesons
25 minutes
On-Demand
Free-Video