Definition of an Injective Function and Sample Proof
We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil
From playlist Injective, Surjective, and Bijective Functions
Description: Corresponding to our algebraic notion of invertibility, we want a geometric notion. Invertible transformations are defined, and then proven to be equivalent (thank goodness!) to invertible matrices when linear. Learning Objectives: 1) Define an invertible transformation 2) D
From playlist Older Linear Algebra Videos
Invertible Matrices correspond with Invertible Transformations **proof**
Invertible Matrices are an algebraic concept that helps us solve Linear Systems of Equations. Invertible Transformations are a geometric concept where we can "undo" a transformation. But in fact they coincide! In this video, we prove that if you have an invertible matrix, the transformatio
From playlist Linear Algebra (Full Course)
Invertible matrices are square
Why invertible matrices must be square. Definition of invertible matrix and showing that a 3x2 and a 2x3 matrix cannot be square. Check out my Matrix Algebra playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmAIZGo2l8SWvsHeeCLzamx0 Subscribe to my channel: https://www.youtube.c
From playlist Matrix Algebra
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Homological algebra 6: Injective modules
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. We study to following problem: are there enough injective modules, in the sense that every module is a submodule of an injecti
From playlist Commutative algebra
Abstract Algebra | Injective Functions
We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
41 - Determining invertibility and finding the inverse
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
Schemes 29: Invertible sheaves over the projective line
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we classify the invertible sheaves over the projective line, and use them to show that several properties of quasiprojective sheaves over affi
From playlist Algebraic geometry II: Schemes
Introduction to Power Inverters | What Is 3-Phase Power? -- Part 6
In 3-phase electrical power systems, the AC system is commonly connected to a DC system. The process of converting DC to AC is known as inversion. You will learn: - The operating principle of a single controllable power electronic switch - How an H-bridge inverter converts a DC voltage to
From playlist What Is 3-Phase Power?
Localization of Spaces by Somnath Basu
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Schemes 45: Blowing up schemes
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we discuss the operation of blowing up a scheme along a sheaf of ideals. This can be used to make ideals invertible, and to eliminate points o
From playlist Algebraic geometry II: Schemes
8-bit CPU reset circuit and power supply tips
More 8-bit computer: https://eater.net/8bit Check out Julian's channel: https://www.youtube.com/user/julius256 Support me on Patreon: https://www.patreon.com/beneater https://www.eater.net https://twitter.com/ben_eater https://www.patreon.com/beneater
From playlist Building an 8-bit breadboard computer!
O'Reilly Webcast: Using TL07X Op Amps in Analog
Join Ray Wilson, author of "Make: Analog Synthesizers - A modern approach to old-school synthesis" for a hands-on webcast where he will present and discuss several synthesizer related applications for the TL07X series of Texas Instruments op amp. Don't miss this informative presentation!
From playlist O'Reilly Webcasts 3
Matrix Invertibility With F[x]-Modules
Characteristic polynomial explanation: https://youtu.be/jCt6mR3QtPk Ring & Module Theory playlist: https://youtube.com/playlist?list=PLug5ZIRrShJExMapwnaKTFXDYbKeWDXq7 In this video, we use F[x]-modules to prove that a matrix is invertible if and only if its determinant is nonzero. Anoth
From playlist Ring & Module Theory
Yonatan Harpaz - New perspectives in hermitian K-theory I
For questions and discussions of the lecture please go to our discussion forum: https://www.uni-muenster.de/TopologyQA/index.php?qa=k%26l-conference This lecture is part of the event "New perspectives on K- and L-theory", 21-25 September 2020, hosted by Mathematics Münster: https://go.wwu
From playlist New perspectives on K- and L-theory
Clock logic - 8-bit computer clock - part 4
Our computer's clock is built using several 555 timers. This video covers the logic that ties them together, resulting in the completed clock module. See https://eater.net/bbcpu8-clock-module for more. Part 1: https://youtu.be/kRlSFm519Bo Part 2: https://youtu.be/81BgFhm2vz8 Part 3: https
From playlist Building an 8-bit breadboard computer!
Inverse matrices | Lecture 6 | Matrix Algebra for Engineers
Definition of an inverse matrix. Computation of the inverse of a two-by-two 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
From playlist Matrix Algebra for Engineers
Yinhuo Zhang: Braided autoequivalences, quantum commutative Galois objects and the Brauer groups
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra