Dual basis definition and proof that it's a basis In this video, given a basis beta of a vector space V, I define the dual basis beta* of V*, and show that it's indeed a basis. We'll see many more applications of this concept later on, but this video already shows that it's straightforwar
From playlist Dual Spaces
Math 060 Fall 2017 111317C Orthonormal Bases
Motivation: how to obtain the coordinate vector with respect to a given basis? Definition: orthogonal set. Example. Orthogonal implies linearly independent. Orthonormal sets. Example of an orthonormal set. Definition: orthonormal basis. Properties of orthonormal bases. Example: Fou
From playlist Course 4: Linear Algebra (Fall 2017)
35 - Properties of bases (continued)
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Linear Algebra - Lecture 31 - Coordinate Systems
In this video, I review the definition of basis, and discuss the notion of coordinates of a vector relative to that basis. The properties of a basis of a subspace guarantee that a vector in that subspace can be written as a linear combination of the basis vectors in only one way. The wei
From playlist Linear Algebra Lectures
Determine the Basis for a Set of Four Vectors in R3
This video explains how to determine the basis of a set of vectors in R3. https://mathispower4u.com
From playlist Linear Independence and Bases
From playlist Linear Algebra Ch 6
In this video, I show a very neat result about dual spaces: Namely, any basis of V* is automatically a dual basis of some basis of V. Even though this result is very interesting, it's the proof that makes this very exciting, by simply using the fact that V and V** are 'very' isomorphic. En
From playlist Dual Spaces
Determine the Basis for a Set of Four Vectors in R3
This video explains how to determine the basis of a set of vectors in R3.
From playlist Linear Independence and Bases
David Mond: The intersection form, logarithmic vector fields, and the Severi strata..
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Lie Groups and Lie Algebras: Lesson 11 - The Classical Groups Part IX
Lie Groups and Lie Algebras: Lesson 11 - The Classical Groups Part IX In this lecture we count the degrees of freedom for the classical groups. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX
From playlist Lie Groups and Lie Algebras
Lie Groups and Lie Algebras: Lesson 5 - The Classical Groups Part III
Lie Groups and Lie Algebras: Lesson 5 - The Classical Groups Part III We consider the notion of a transformation that preserves the structure of a metric and show that the set of such transformations is a group. Please consider supporting this channel via Patreon: https://www.patreon.co
From playlist Lie Groups and Lie Algebras
Birational Calabi-Yau manifolds have the same small quantum products - Mark McLean
Princeton/IAS Symplectic Geometry Seminar Topic: Birational Calabi-Yau manifolds have the same small quantum products. Speaker: Mark McLean Affiliation: Stony Brook University Date: April 30, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Lie Groups and Lie Algebras: Lesson 12 - The Classical Groups Part X (redux)
Lie Groups and Lie Algebras: Lesson 12 - The Classical Groups Part X (redux) We name the classical groups, finally! This video ended a bit short, I added the missing part in the "redux" version of this lesson. Please consider supporting this channel via Patreon: https://www.patreon.com/
From playlist Lie Groups and Lie Algebras
Tiago J. Fonseca: Higher Ramanujan Foliations
Recorded during the research school "Geometry and Dynamics of Foliations " the may 25, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma
From playlist Virtual Conference
Equivariant structures in mirror symmetry - James Pascaleff
James Pascaleff University of Illinois at Urbana-Champaign October 17, 2014 When a variety XX is equipped with the action of an algebraic group GG, it is natural to study the GG-equivariant vector bundles or coherent sheaves on XX. When XX furthermore has a mirror partner YY, one can ask
From playlist Mathematics
Brent Pym: Holomorphic Poisson structures - lecture 2
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference
Modular perverse sheaves on symplectic singularities - Tom Braden
Workshop on Representation Theory and Geometry Topic: Modular perverse sheaves on symplectic singularities Speaker: Tom Braden Affiliation: University of Massachusetts; Member, School of Mathematics Date: March 29, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Linear Algebra - Lecture 30 - Basis of a Subspace
In this video, I give the definition of "basis" for a subspace. Then, I work through the process for finding a basis for the null space and column space of any matrix.
From playlist Linear Algebra Lectures
Nick Sheridan: Counting curves using the Fukaya category
Find other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies,
From playlist Jean-Morlet Chair - Lalonde/Teleman