Ring theory | Algebraic structures | Matrix theory
In abstract algebra, a matrix ring is a set of matrices with entries in a ring R that form a ring under matrix addition and matrix multiplication. The set of all n × n matrices with entries in R is a matrix ring denoted Mn(R) (alternative notations: Matn(R) and Rn×n). Some sets of infinite matrices form infinite matrix rings. Any subring of a matrix ring is a matrix ring. Over a rng, one can form matrix rngs. When R is a commutative ring, the matrix ring Mn(R) is an associative algebra over R, and may be called a matrix algebra. In this setting, if M is a matrix and r is in R, then the matrix rM is the matrix M with each of its entries multiplied by r. (Wikipedia).
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
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What is a matrix? Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
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From playlist Linear Algebra for Computer Scientists
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From playlist Algebra
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From playlist Abstract Algebra
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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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From playlist Linear Algebra
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
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From playlist Online Workshop in Memory of Ray Hoobler - April 30, 2020
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From playlist Spring 2022 Online Kolchin seminar in Differential Algebra
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From playlist QED- Prerequisite Topics
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From playlist Mathematics
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From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
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From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
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From playlist Visual Group Theory
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From playlist Global Noncommutative Geometry Seminar (Americas)
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From playlist Introducing linear algebra