Matrices

Unimodular matrix

In mathematics, a unimodular matrix M is a square integer matrix having determinant +1 or −1. Equivalently, it is an integer matrix that is invertible over the integers: there is an integer matrix N that is its inverse (these are equivalent under Cramer's rule). Thus every equation Mx = b, where M and b both have integer components and M is unimodular, has an integer solution. The n × n unimodular matrices form a group called the n × n general linear group over , which is denoted . (Wikipedia).

Unimodular matrix
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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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Identity Matrix | Unit Matrix | Don't Memorise

This video explains the concept of an Identity Matrix. Is it also called a Unit Matrix? ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=iks8wCfPerU&utm_term=%7Bkeyword%

From playlist Matrices

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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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Column space of a matrix

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

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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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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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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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Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 4

In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly

From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory

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2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

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Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture I

Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, I’ll demonstrate how these

From playlist Summer School on modern directions in discrete optimization

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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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Matthias Lenz, Research talk - 11 February 2015

Matthias Lenz (University of Oxford) - Research talk http://www.crm.sns.it/course/4484/ Formulas of Khovanskii-Pukhlikov, Brion-Vergne, and De Concini-Procesi-Vergne relate the volume with the number of integer points in a convex polytope. In this talk I will refine these formulas and tal

From playlist Algebraic topology, geometric and combinatorial group theory - 2015

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Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture II

Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, I’ll demonstrate how these

From playlist Summer School on modern directions in discrete optimization

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Singular Matrix and Non-Singular Matrix | Don't Memorise

This video explains what Singular Matrix and Non-Singular Matrix are! ✅To learn more about, Matrices, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=2OJJhfKwrRc&utm_term=%7Bkeyword%7D In this video,

From playlist Matrices

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Percolation on Nonamenable Groups, Old and New (Lecture-2) by Tom Hutchcroft

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

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Martin Hazelton - Dynamic fibre samplers for linear inverse problems

Professor Martin Hazelton (University of Otago) presents “Dynamic fibre samplers for linear inverse problems”, 23 October 2020 (seminar organised by UNSW).

From playlist Statistics Across Campuses

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PreCalculus - Matrices & Matrix Applications (11 of 33) What are Equal Matrices?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what are equal matrices. Next video in the Matrices series can be seen at: http://youtu.be/sQ4od79mGRA

From playlist Michel van Biezen: PRECALCULUS 12 - MATRICES

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Unimodular Random Manifolds (Lecture-3) by Ian Biringer

PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE (ONLINE) ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Mahan M J (TIFR, Mumbai) DATE & TIME: 01 March 2021 to 12 March 2021 VENUE: Online Due to the ongoing COVID pandemic, the meeting will

From playlist Probabilistic Methods in Negative Curvature (Online)

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