In mathematics, an integer matrix is a matrix whose entries are all integers. Examples include binary matrices, the zero matrix, the matrix of ones, the identity matrix, and the adjacency matrices used in graph theory, amongst many others. Integer matrices find frequent application in combinatorics. (Wikipedia).
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
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to 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
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
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
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
Matrices: Inverse of 2x2 and 3x3 Matrix
This is the sixth video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with finding the inverse of a square 2x2 or 3x3 matrix. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices
Linear Algebra 11u: Two Interesting Matrix Product Examples
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Robert Weismantel: Affine TU decomposition of matrices
We study the reformulation of integer linear programs by means of a mixed integer linear program with fewer integer variables. Such reformulations can be solved efficiently with mixed integer linear programming techniques. We exhibit a variety of examples that demonstrate how integer prog
From playlist HIM Lectures: Trimester Program "Combinatorial Optimization"
Daniel Kral: Parametrized approach to block structured integer programs
Integer programming is one of the most fundamental problems in discrete optimization. While integer programming is computationally hard in general, there exist efficient algorithms for special instances. In particular, integer programming is fixed parameter tractable when parameterized by
From playlist Workshop: Parametrized complexity and discrete optimization
Jon Keating: Random matrices, integrability, and number theory - Lecture 4
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
The integers modulo n under addition is a group. What are the integers mod n, though? In this video I take you step-by-step through the development of the integers mod 4 as an example. It is really easy to do and to understand.
From playlist Abstract algebra
Eric Rowell - Classification of Modular Fusion Categories, Part 2 of 2 - IPAM at UCLA
Recorded 31 August 2021. Eric Rowell of Texas A&M University, College Station, presents "Classification of Modular Fusion Categories" at IPAM's Graduate Summer School: Mathematics of Topological Phases of Matter. This is the second of two talks that Eric presented. Abstrat: Most properties
From playlist Graduate Summer School 2021: Mathematics of Topological Phases of Matter
Our first examples of groups -- Abstract Algebra 3
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From playlist Abstract Algebra
Determine Which Sets are Vector Spaces
This video explains how to check the 5 axioms of addition and 5 axioms of scalar multiplication to determine if a set makes up a vector space.
From playlist Vector Spaces
Simon Myerson: Repulsion: a how-to guide, Lecture II
Consider the integral zeroes of one or more, not necessarily diagonal, integral polynomials in many variables with the same degree. The basic principles for applying the circle method here were laid out by Birch. One way to improve on his work is repulsion: showing that the exponential sum
From playlist Hausdorff School "The Circle Method"
What is an inverse matrix and how do I calculate it? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Commutative algebra 33 (Integral elements)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. This lecture covers some basic properties of integral elements and finite extensions. We show that an extension is finite if a
From playlist Commutative algebra