In mathematics, especially in linear algebra and matrix theory, a centrosymmetric matrix is a matrix which is symmetric about its center. More precisely, an n×n matrix A = [Ai,j] is centrosymmetric when its entries satisfy Ai,j = An−i + 1,n−j + 1 for i, j ∊{1, ..., n}. If J denotes the n×n exchange matrix with 1 on the antidiagonal and 0 elsewhere (that is, Ji,n + 1 − i = 1; Ji,j = 0 if j ≠ n +1− i), then a matrix A is centrosymmetric if and only if AJ = JA. (Wikipedia).
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
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Symmetric Groups (Abstract Algebra)
Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n. Symmetric groups capture the history of abstract algebra, provide a wide range of examples in
From playlist Abstract Algebra
We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the
From playlist Introducing linear algebra
Doris Schattschneider - Two Conway Geometric Gems - CoM Oct 2021
John Conway enjoyed discovering unusual properties of triangles and also enjoyed discovering properties of tilings. Two of his discoveries bear his name: The Conway Circle, and The Conway Criterion. I’ll talk about these two gems; one led to a new tiling app. Doris Schattschneider, profes
From playlist Celebration of Mind 2021
Quaternions as 4x4 Matrices - Connections to Linear Algebra
In math, it's usually possible to view an object or concept from many different (but equivalent) angles. In this video, we will see that the quaternions may be viewed as 4x4 real-valued matrices of a special form. What is interesting here is that if you know how to multiply matrices, you a
From playlist Quaternions
Marco Bernardi - Quantum mechanical calculations of electron interactions in condensed matter
Recorded 12 April 2022. Marco Bernardi of the California Institute of Technology presents "Precise quantum mechanical calculations of electron interactions and dynamics in condensed matter" at IPAM's Model Reduction in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.
From playlist 2022 Model Reduction in Quantum Mechanics Workshop
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)
Matrix Algebra Basics || Matrix Algebra for Beginners
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. This course is about basics of matrix algebra. Website: https://geekslesson.com/ 0:00 Introduction 0:19 Vectors and Matrices 3:30 Identities and Transposes 5:59 Add
From playlist Algebra
Michael Falk, Research talk - 9 February 2015
http://www.crm.sns.it/course/4392/ Michael Falk (Northern Arizona University) - Research talk We recall the application of resonance varieties in distinguishing homotopy types of complements of complex line arrangements, and illustrate a new application whereby one reconstructs the underl
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
MIT 3.60 | Lec 24a: Symmetry, Structure, Tensor Properties of Materials
Part 1: Piezoelectricity (cont.) View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
Reduction in Band Gap with Retention of Ferroelectricity through Heterovalent ... Rohit Kumar Rohj
DISCUSSION MEETING : APS SATELLITE MEETING AT ICTS ORGANIZERS : Ranjini Bandyopadhyay (RRI, India), Subhro Bhattacharjee (ICTS-TIFR, India), Arindam Ghosh (IISc, India), Shobhana Narasimhan (JNCASR, India) and Sumantra Sarkar (IISc, India) DATE & TIME: 15 March 2022 to 18 March 2022 VEN
From playlist APS Satellite Meeting at ICTS-2022
MIT 3.60 | Lec 23b: Symmetry, Structure, Tensor Properties of Materials
Part 2: Piezoelectricity View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material
S Ramakrishnan - Strongly correlated superconductivity in non-magnetic d-band superconductors
PROGRAM: The ICTS Condensed Matter Programme 2011 Venue: Indian Insitute of Science, Bangalore Date: Friday 09 Dec, 2011 - Thursday 22 Dec, 2011 DESCRIPTION: The ICTS Condensed Matter Programme 2011 (ICMP 2011) consists of a 10 day Winter School (December 9 to December 18) followed by a 4
From playlist The ICTS Condensed Matter Programme 2011
Molecular Structure & Statistical Mechanics 131B. Lecture 17. NMR (Pt. II)
UCI Chem 131B Molecular Structure & Statistical Mechanics (Winter 2013) Lec 17. Molecular Structure & Statistical Mechanics -- NMR -- Part 2. View the complete course: http://ocw.uci.edu/courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.html Instructor: Rachel Mart
From playlist Chem 131B: Molecular Structure & Statistical Mechanics
Aras Asaad (6/2/20): Topological data analysis to detect fake faces from images and videos
Title: Topological data analysis to detect fake faces from images and videos Abstract: The aim of Topological data analysis (TDA) is to provide new topological and geometric tools to analyse complex and high-dimensional data. This talk will cover a brief introduction to TDA and its applic
From playlist SIAM Topological Image Analysis 2020
Symmetric matrices - eigenvalues & eigenvectors
Free ebook http://tinyurl.com/EngMathYT A basic introduction to symmetric matrices and their properties, including eigenvalues and eigenvectors. Several examples are presented to illustrate the ideas. Symmetric matrices enjoy interesting applications to quadratic forms.
From playlist Engineering Mathematics
Make Blue Smash-Glow Crystals (Triboluminescence Demonstration)
In this video we show how to make blue triboluminescent or "smash-glow" crystals. Warning: This experiment uses toxic, volatile and carcinogenic chemicals. This should be performed with gloves in a fume hood. Get 121mg of copper thiocyanate and 262mg of triphenylphosphine. Add to it 5mL
From playlist Glow Science