Sparse matrices | Matrices

Anti-diagonal matrix

In mathematics, an anti-diagonal matrix is a square matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner (↗), known as the anti-diagonal (sometimes Harrison diagonal, secondary diagonal, trailing diagonal, minor diagonal, or bad diagonal). (Wikipedia).

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Diagonal Matrices

This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com

From playlist Introduction to Matrices and Matrix Operations

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The Diagonalization of Matrices

This video explains the process of diagonalization of a matrix.

From playlist The Diagonalization of Matrices

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The Identity Matrix

This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Introduction to Matrices and Matrix Operations

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Block Diagonal Matrices

Every operator on a finite-dimensional complex vector space has a matrix (with respect to some basis of the vector space) that is a block diagonal matrix, with each block itself an upper-triangular matrix that contains only one eigenvalue on the diagonal.

From playlist Linear Algebra Done Right

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Ex 2: Determinant of 3x3 Matrix - Diagonal Method

This video provides an example of how to calculate the determinant using the diagonal method. Site: http://mathispower4u.com

From playlist The Determinant of a Matrix

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AQA A-Level Further Maths C11-01 Diagonalisation: Diagonal Matrices

Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dean @deanencoded for designing my openin

From playlist AQA A-Level Further Maths C11: Diagonalisation

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Determine the Product of a Matrix and Vector using the Diagonalization of the Matrix

This video explains how to use the diagonalization of a 2 by 2 matrix to find the product of a matrix and a vector given matrix P and D.

From playlist The Diagonalization of Matrices

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Diagonal Matrices are Freaking Awesome

When you have a diagonal matrix, everything in linear algebra is easy Learning Objectives: 1) Solve systems, compute eigenvalues, etc for Diagonal Matrices This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati

From playlist Linear Algebra (Full Course)

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Discrete Math - 9.3.1 Matrix Representations of Relations and Properties

How to represent a relation using a matrix and easy tips for determining if the relation is reflexive, irreflexive, symmetric, antisymetric, asymmetric and transitive. Matrix operations are also reviewed (meet, join and Boolean product). Textbook: Rosen, Discrete Mathematics and Its Appl

From playlist Discrete Math I (Entire Course)

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Unified Charge Vectors (UCV Theory) by Noam Why. Grand unification of electroweak and strong forces.

A new breakthrough in theoretical physics! UCV theory is a grand unification of electroweak and strong forces based on a new idea called Unified Charge Vectors. The theory was developed by Noam Why and was first published in January 2021. Original paper: https://independent.academia.edu/W

From playlist Summer of Math Exposition Youtube Videos

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Deconfinement to Confinement as PT Phase Transition by Bhabani Mandal

PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a

From playlist Non-Hermitian Physics (ONLINE)

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Product Rules in Semidefinite Programming - Rajat Mittal

Rajat Mittal March 22, 2010 Semidefinite programming bounds are widely used in combinatorial optimization, quantum computing and complexity theory. The first semidefinite programming bound to gain fame is the so-called theta number developed by Lov\'asz to compute the Shannon capacity of

From playlist Mathematics

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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

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Elementary Matrices

This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Augmented Matrices

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Richard Kerner - Unifying Colour SU(3) with Z3-Graded Lorentz-Poincaré Algebra

A generalization of Dirac’s equation is presented, incorporating the three-valued colour variable in a way which makes it intertwine with the Lorentz transformations. We show how the Lorentz-Poincaré group must be extended to accomodate both SU(3) and the Lorentz transformations. Both symm

From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020

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Alexander Hock: From noncommutative quantum field theory to blobbed topological recursion

Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Scalar quantum field theory on noncommutative Moyal space can be approximated by matrix models with non-trivial covariance. One example is the Kontsevich model, which

From playlist Noncommutative geometry meets topological recursion 2021

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4. Eigenvalues and Eigenvectors

MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018 Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/18-065S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63oMNUHXqIUcrkS2PivhN3k Professor Strang b

From playlist MIT 18.065 Matrix Methods in Data Analysis, Signal Processing, and Machine Learning, Spring 2018

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Ex 1: Determinant of 3x3 Matrix - Diagonal Method

This video provides an example of how to calculate the determinant using the diagonal method. Site: http://mathispower4u.com

From playlist The Determinant of a Matrix

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Chemistry 107. Inorganic Chemistry. Lecture 04

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 04. Inorganic Chemistry -- Character Tables and One Application of Symmetry View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use:

From playlist Chem 107: Week 2

Related pages

Permutation | Exchange matrix | Persymmetric matrix | Product (mathematics) | Triangular number | Absolute value | Diagonal matrix | Mathematics | Determinant | Square matrix | Main diagonal | Invertible matrix