Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Math 060 Linear Algebra 01 090514: Systems of Linear Equations; Matrices
1.1 Introduction: systems of linear equations. "Legal" operations (that result in equivalent systems, i.e., systems with the same solution set). Row echelon form, lead variables, free variables. Definition of a matrix; matrix addition, scalar multiplication, additive inverses.
From playlist Course 4: Linear Algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0
From playlist Linear Algebra
Abstract Algebra | What is a ring?
We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Linear Algebra Full Course for Beginners to Experts
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l
From playlist Linear Algebra
Math 060 Fall 2017 102517C Matrix Representations and Similarity
Definition of linear operator. Matrix representation of a linear operator. Main question: is there a relation between the different matrix representations? Recall notion of transition matrix (between coordinate vectors). Main theorem: matrix representations of linear operators are simi
From playlist Course 4: Linear Algebra (Fall 2017)
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Tensor Calculus 4d: Quadratic Form Minimization
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
The Shape of Functional Programming - O'Reilly Webcast
You may have heard the news that functional programming is in and object-oriented programming is out. Well, that's not actually true, but it's safe to say that functional programming is grabbing the attention of more and more software developers. A rapidly growing programming paradigm, fun
From playlist O'Reilly Webcasts 3
Function inverse example 1 | Functions and their graphs | Algebra II | Khan Academy
Function Inverse Example 1 Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/algebra2/functions_and_graphs/function_inverses_2/e/inverses_of_functions?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Watch the next lesson: https://www.khana
From playlist Precalculus | Get Ready for Grade Level | Khan Academy
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
The basis of a vector space part 3 -- Abstract Linear Algebra 12
⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn ⭐my other channels⭐ Main Channel: https://www.youtube.com/michaelpennmath non-math podcast: http
From playlist Abstract Linear Algebra
Tensor Calculus Lecture 11b: Gauss' Theorema Egregium, Part 2
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Te
From playlist Introduction to Tensor Calculus
Nicola Garofalo: Hypoelliptic operators and analysis on Carnot-Carathéodory spaces
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 Algebraic and Complex Geometry
Abstract Algebra | Constructing a field of order 4.
We use the standard strategy involving a quotient of the polynomial ring Z2[x] by a maximal ideal in order to construct a field of order 4. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: ht
From playlist Abstract Algebra
Anthony Bordg - How to Do Maths Without Dependent Types
What can be done when formalising mathematics without dependent types? I will give you new insights into this question by exploring the capability and possible limitations of the Isabelle/HOL proof assistant. I will explain what we learnt formalising Grothendieck's schemes using only Isabe
From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques
Linear Transformations: One-One
Linear Algebra: We recall the definition of one-one for functions and apply it to linear transformations. We obtain a simple rule for checking one-one in this case: either the kernel is zero or the associated matrix has a pivot in each column in row echelon form. Several examples are gi
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Live CEOing Ep 203: Database Integration in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Database Integration in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Linear Algebra 19r: Translations, or How to Represent Nonlinear Transformations by Matrix Products
This course is on Lemma: http://lem.ma Lemma looking for developers: http://lem.ma/jobs Other than http://lem.ma, I recommend Strang http://bit.ly/StrangYT, Gelfand http://bit.ly/GelfandYT, and my short book of essays http://bit.ly/HALAYT Questions and comments below will be prompt
From playlist Part 3 Linear Algebra: Linear Transformations
Live CEOing Ep 217: Database Integration in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Database Integration in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design