Matrices

Integer matrix

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).

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Matrix addition

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

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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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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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

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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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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)

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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

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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

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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

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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"

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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

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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

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Integers modulo n

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

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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

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Our first examples of groups -- Abstract Algebra 3

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From playlist Abstract Algebra

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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

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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"

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Inverse of Matrix 2 x 2 Case

What is an inverse matrix and how do I calculate it? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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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

Related pages

Modular group | Characteristic polynomial | Group (mathematics) | Identity matrix | GCD matrix | Combinatorics | Determinant | Condition number | Unimodular matrix | Zero matrix | Wilson matrix | Abel–Ruffini theorem | Graph theory | Adjacency matrix | Mathematics | Integer | Root of a function | Real number | Nth root | Orthogonal group | Algebraic integer | Geometry | Matrix (mathematics) | Matrix of ones | Invertible matrix