In operator theory, a multiplication operator is an operator Tf defined on some vector space of functions and whose value at a function ฯ is given by multiplication by a fixed function f. That is, for all ฯ in the domain of Tf, and all x in the domain of ฯ (which is the same as the domain of f). This type of operator is often contrasted with composition operators. Multiplication operators generalize the notion of operator given by a diagonal matrix. More precisely, one of the results of operator theory is a spectral theorem that states that every self-adjoint operator on a Hilbert space is unitarily equivalent to a multiplication operator on an L2 space. (Wikipedia).
An identity matrix under matrix multiplication serves a similar role to the number 1, when it comes to integer multiplication, i.e. any number times 1, remains that number. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until Udemy
From playlist Introducing linear algebra
Matrix multiplication. How to multiply matrices. In this video I show you how we define the multiplication of matrices. As you will see, it is not so simply as multiplying two numbers. Matrices can only be multiplied when the number of columns in the first matrix is similar to the numb
From playlist Introducing linear algebra
Ex 1: Matrix Multiplication (Basic)
This video provides examples of matrix multiplication. One example is defined and one example is undefined. Site: http://mathispower4u.com
From playlist Introduction to Matrices and Matrix Operations
The inverse of a matrix is a similarly sized matrix such that the multiplication of the two matrices results in the identity matrix. In this video we look at an example of this. You can learn more about Mathematica on my Udemy course at https://www.udemy.com/mathematica/ PS! Wait until
From playlist Introducing linear algebra
Multiplying Double Digits - free math help - math tutoring
๐ You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step process to find the product of the two numbers. ๐SUB
From playlist Integer Operations
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
Multiplying single digits - free math help - online tutor
๐ You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step process to find the product of the two numbers. ๐SUB
From playlist Integer Operations
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
What are Binary Operations? | Abstract Algebra
What are binary operations? Binary operations are a vital part of the study of abstract algebra, and we'll be introducing them with examples and proofs in this video lesson! A binary operation on a set S is simply a function f from SxS to S. So a binary operation is a function that takes
From playlist Abstract Algebra
How To Create A Calculator App In Swift | Session 03 | #mobileapp | #swift | #programming
Donโt forget to subscribe! This project series is about how to create a calculator app in Swift. You'll learn to set up your UI from a predesigned template using auto-layout, how you connect your UI with your code to get to a working calculator app. We will go through all the theoretical
From playlist Create A Calculator App In Swift
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras
What is a Tensor? Lesson 20: Algebraic Structures II - Modules to Algebras We complete our survey of the basic algebraic structures that appear in the study of general relativity. Also, we develop the important example of the tensor algebra.
From playlist What is a Tensor?
What is a Tensor? Lesson 19: Algebraic Structures I
What is a Tensor? Lesson 19: Algebraic Structures Part One: Groupoids to Fields This is a redo or a recently posted lesson. Same content, a bit cleaner. Algebraic structures are frequently mentioned in the literature of general relativity, so it is good to understand the basic lexicon of
From playlist What is a Tensor?
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have described Infix , Prefix and Postfix notations which are ways of writing arithmetic and logical expressions. Infix notation is the most common way o
From playlist Data structures
Fundamentals Of Mathematics - Lecture 05: Axioms
Course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html Handouts- DZB, Emory Videography - Eric Melton, UVM
From playlist Fundamentals of Mathematics
Algebraic Structures: Groups, Rings, and Fields
This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.
From playlist Abstract Algebra
Implementation of Elliptic Curve Cryptography
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
How To Create A Calculator App In Swift | Session 04 | #mobileapp | #swift | #programming
Donโt forget to subscribe! This project series is about how to create a calculator app in Swift. You'll learn to set up your UI from a predesigned template using auto-layout, how you connect your UI with your code to get to a working calculator app. We will go through all the theoretical
From playlist Create A Calculator App In Swift
Decomposition Via Generalized Eigenvectors
Decomposition of an operator on a complex vector space. For each operator on a complex vector space, there is a basis of the vector space consisting of generalized eigenvectors of the operator. Multiplicity (also called algebraic multiplicity) and geometry multiplicity of an eigenvalue. T
From playlist Linear Algebra Done Right
Trace of an Operator and of a Matrix
Trace of an operator defined to be the sum of the eigenvalues (or of the eigenvalues of the complexification), repeated according to multiplicity. Trace of a matrix defined to be the sum of the squares of the diagonal enties. The connection between these two notions of trace.
From playlist Linear Algebra Done Right
Learn how to multiply two three digit numbers
๐ You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step process to find the product of the two numbers. ๐SUB
From playlist Integer Operations