Matrices | Algebraic graph theory
In the mathematical field of algebraic graph theory, the degree matrix of an undirected graph is a diagonal matrix which contains information about the degree of each vertex—that is, the number of edges attached to each vertex. It is used together with the adjacency matrix to construct the Laplacian matrix of a graph: the Laplacian matrix is the difference of the degree matrix and the adjacency matrix. (Wikipedia).
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
Homogeneous Systems: Given a Coefficient Matrix, Solve Ax=0
This video explains how to solve the vector equation Ax=0 given a coefficient matrix.
From playlist Rank and Homogeneous Systems
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
Matrix Addition, Subtraction, and Scalar Multiplication
This video shows how to add, subtract and perform scalar multiplication with matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Introduction to Matrices and Matrix Operations
Using a Matrix Equation to Solve a System of Equations
This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Matrix Equations
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
Algebra - Ch. 5: Polynomials (2 of 32) What is the Degree of a Polynomial?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are 0, 1st, 2nd, and 3rd degree polynomials. Note: the degree corresponds to the exponent of the variable in the term. To donate: http://www.ilectureonline.com/donate https://www.patreon
From playlist ALGEBRA CH 5 POLYNOMIALS
Matrices lesson 1 - What is a matrix, dimension of a matrix, elements of a matrix.
In this lesson we introduce you to the idea of matrices (an object containing an array of numbers). We also talk about some properties / features of matrices.
From playlist Maths C / Specialist Course, Grade 11/12, High School, Queensland, Australia
How do you find the degree of a polynomial
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that one variable, the power (exponent) of the term is the s
From playlist Find the leading coefficient and degree of a polynomial | expression
Lec 9 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis
Lecture 9: Solution of equilibrium equations in static analysis Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Linear Finite Element Analysis
Hierarchical Interpolative Factorization
At the 2013 SIAM Annual Meeting, Lexing Ying of Stanford University discussed some recent results on developing new factorizations for matrices obtained from discretizing differential and integral operators. A common ingredient of these new factorizations is the interpolative decomposition
From playlist Complete lectures and talks: slides and audio
Lec 5 | MIT Finite Element Procedures for Solids and Structures, Linear Analysis
Lecture 5: Implementation of Methods in Computer Programs Instructor: Klaus-Jürgen Bathe View the complete course: http://ocw.mit.edu/RES2-002S10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Linear Finite Element Analysis
Lec 13 | MIT 18.086 Mathematical Methods for Engineers II
Elimination with Reordering: Sparse Matrices View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
Samit Dasgupta: An introduction to to auxiliary polynomials in transcendence theory, Lecture III
Broadly speaking, transcendence theory is the study of the rationality or algebraicity properties of quantities of arithmetic or analytic interest. For example, Hilbert’s 7th problem asked ”Is a b always transcendental if a 6= 0, 1 is algebraic and b is irrational algebraic?” An affirmativ
From playlist Harmonic Analysis and Analytic Number Theory
MFEM Workshop 2022 | High-Order Solvers + GPU Acceleration
The LLNL-led MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. The project’s second community workshop was held on October 25, 2022, with participants around the world. Learn more about MFEM at https://mfem.o
From playlist MFEM Community Workshop 2022
Nonlinear algebra, Lecture 11: "Semidefinite Programming", by Bernd Sturmfels
This is the eleventh 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
WildLinAlg7: More applications of 2x2 matrices
More on 2x2 matrices, rotations, rotations, reflections and linear transformations. Included are some applications to calculus: explaining how a linear map approximates a non-linear map, leading to the notion of a derivative of a function as a linear transformation. NJ Wildberger is also
From playlist A first course in Linear Algebra - N J Wildberger
Lecture 6. Structural properties of networks
Network Science 2021 @ HSE http://www.leonidzhukov.net/hse/2021/networks/
From playlist Network Science, 2021
This is the second video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with multiplying two matrices. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices
The Polynomial Method in Communication Complexity - Pei Wu
Computer Science/Discrete Mathematics Seminar II Topic: The Polynomial Method in Communication Complexity Speaker: Pei Wu Affiliation: Member, School of Mathematics Date: November 22, 2022 A powerful technique developed and extended in the past decade in communication complexity is the s
From playlist Mathematics