Functional analysis | Linear operators | Linear algebra
In linear algebra and functional analysis, a projection is a linear transformation from a vector space to itself (an endomorphism) such that . That is, whenever is applied twice to any vector, it gives the same result as if it were applied once (i.e. is idempotent). It leaves its image unchanged. This definition of "projection" formalizes and generalizes the idea of graphical projection. One can also consider the effect of a projection on a geometrical object by examining the effect of the projection on points in the object. (Wikipedia).
11H Orthogonal Projection of a Vector
The orthogonal projection of one vector along another.
From playlist Linear Algebra
11J Orthogonal Projection of a Vector
The orthogonal projection of one vector along another.
From playlist Linear Algebra
11I Orthogonal Projection of a Vector
The Orthogonal Projection of one vector along another.
From playlist Linear Algebra
Linear functions -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
From playlist Elementary Linear Algebra
11L More Example of Dot Product and Orthogonal Projections
More example of the dot product and orthogonal projections.
From playlist Linear Algebra
Proving that orthogonal projections are a form of minimization
Description: Orthogonal projections provide the closest point on a subspace to some point off the subspace. We use Pythagoras to prove that this is always the case. Learning Objective: 1) Given a subspace and a point, compute the closest point in the subspace to the given point. This
From playlist Linear Algebra (Full Course)
Linear Algebra for Beginners | Linear algebra for machine learning
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. In this course you will learn most of the basics of linear algebra wh
From playlist Linear Algebra
Linear Algebra: Projection onto a Line
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
Geometric Algebra - Linear Transformations, Outermorphism, and the Determinant
In this video, we will review some basic concepts from linear algebra, such as the linear transformation, prove important theorems which ground matrix operations, extend the linear transformation on vectors to higher-graded elements to bivectors and trivectors, and define the determinant o
From playlist Geometric Algebra
A projection onto a subspace is a linear transformation | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthogonal-projections/v/lin-alg-a-projection-onto-a-subspace-is-a-linear-transforma Showing that a projection onto a subspace is a
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Visualizing a projection onto a plane | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthogonal-projections/v/linear-alg-visualizing-a-projection-onto-a-plane Visualizing a projection onto a plane. Showing that the ol
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
GAME2020 - 1. Dr. Leo Dorst. Get Real! (new audio!)
Dr. Leo Dorst from the University of Amsterdam explains how Geometric Algebra subsumes/extends/invigorates Linear Algebra. More information at https://bivector.net This version has an updated audio track.
From playlist Bivector.net
Projections onto subspaces | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthogonal-projections/v/linear-algebra-projections-onto-subspaces Projections onto subspaces Watch the next lesson: https://www.kh
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Nonlinear algebra, Lecture 8: "Tensors", by Bernd Sturmfels and Mateusz Michalek
This is the eight lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
The Gram-Schmidt process | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthonormal-basis/v/linear-algebra-the-gram-schmidt-process Finding an orthonormal basis for a subspace using the Gram-Schmidt Proce
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Projection is closest vector in subspace | Linear Algebra | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/orthogonal-projections/v/linear-alg-projection-is-closest-vector-in-subspace Showing that the projection of x onto a subspace is the
From playlist Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
Algebraic and Convex Geometry of Sums of Squares on Varieties (Lecture 3) by Greg Blekherman
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Linear Algebra Full Course for Beginners to Experts
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l
From playlist Linear Algebra
Seminar on Applied Geometry and Algebra (SIAM SAGA): Bernd Sturmfels
Date: Tuesday, February 9 at 11:00am EST (5:00pm CET) Speaker: Bernd Sturmfels, MPI MiS Leipzig / UC Berkeley Title: Linear Spaces of Symmetric Matrices. Abstract: Real symmetric matrices appear ubiquitously across the mathematical sciences, and so do linear spaces of such matrices. We
From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)