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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
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
Vector Spaces
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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.
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14
Lesons
4 hours 30 minutes
On-Demand
Free-Video
Matrix Algebra
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Learn essential matrix algebra concepts, from multiplication to subspaces, with practical applications in linear transformations and data analysis.
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20
Lesons
3 hours 30 minutes
On-Demand
Free-Video
Vector Spaces
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Explora espacios vectoriales, subespacios, independencia lineal, coordenadas, bases y dimensiones, y más en este detallado estudio de álgebra lineal.
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15
Lesons
3 hours 30 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
Institute for Pure & Applied Mathematics (IPAM)
Volume of P-Zonoids and Inequalities for Determinants
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Explore new inequalities for 2-zonoid volumes, potential extensions to p-zonoids, and related determinant inequalities. Delve into Minkowski sums, projections, and support functions in this advanced mathematics lecture.
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8
Lesons
27 minutes
On-Demand
Free-Video
Khan Academy
Representing Vectors in RN Using Subspace Members - Linear Algebra - Khan Academy
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Explore vector representation in Rn using subspace members and orthogonal complements. Learn how any Rn vector can be uniquely expressed as a sum of vectors from subspace V and its orthogonal complement.
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1
Lesons
27 minutes
On-Demand
Free-Video
Tom Rocks Maths
Oxford Linear Algebra - Dimension Formula for Vector Spaces
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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.
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1
Lesons
43 minutes
On-Demand
Free-Video
Wrath of Math
Orthogonal Projections on Inner Product Subspaces - Linear Algebra
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Explore orthogonal projections in inner product spaces, including the projection theorem and methods for calculating projections onto subspaces and orthogonal components.
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1
Lesons
14 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
NPTEL-NOC IITM
Basis and Dimension
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Explore fundamental concepts of linear algebra, focusing on basis and dimension in vector spaces. Gain insights into key mathematical principles and their applications.
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1
Lesons
46 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
Awesome Open Source
Subspace - A GUI Front End for the Wireguard VPN Server
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Learn to install and configure Subspace, a free open-source GUI for Wireguard VPN servers. Covers manual setup on Ubuntu with Docker and includes an automated installation script option.
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1
Lesons
37 minutes
On-Demand
Free-Video
Ryan O'Donnell
Analysis of Boolean Functions at CMU - Additive Combinatorics
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Explore additive combinatorics in Boolean functions, covering subspaces, cosets, Hamming balls, and the Fryman region conjecture. Gain insights into advanced theoretical concepts.
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8
Lesons
1 hour 22 minutes
On-Demand
Free-Video
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