We show the connection between the method of adjoints in optimal control to the implicit function theorem ansatz. We relate the costate or adjoint state variable to Lagrange multipliers.
From playlist There and Back Again: A Tale of Slopes and Expectations (NeurIPS-2020 Tutorial)
Algebraic properties of the adjoint. Null space and range of the adjoint. The matrix of T* is the conjugate transpose of the matrix of T.
From playlist Linear Algebra Done Right
Adjoint / Daggered Operators in Quantum Mechanics
In this video, we will explain adjoint operators in quantum mechanics. First of all, for any operator A, we can define its adjoint, A-dagger, via this equation. The idea behind this is, that while operators in quantum mechanics usually act towards the right, adjoint operators act to the le
From playlist Quantum Mechanics, Quantum Field Theory
Matrices | Adjoint of a Matrix (Examples) | Don't Memorise
What is the Adjoint of a 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=hiuqyvR-f_4&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 how to find adjo
From playlist Matrices
Matrices | Adjoint of a Matrix | Don't Memorise
What is the Adjoint of a 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=2ugSvI-F__I&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 how to find adjoin
From playlist Matrices
ADVERBS OF DEGREE - ENGLISH GRAMMAR
Adverbs of degree are words that describe or modify adjectives or adverbs. They are a special type of adverb, so I don't really like to think of them as adverbs. They are best on their own category. These are also called intensifiers or qualifiers. If you want to support the channel, hit
From playlist English Grammar
Self-adjoint operators. All eigenvalues of a self-adjoint operator are real. On a complex vector space, if the inner product of Tv and v is real for every vector v, then T is self-adjoint.
From playlist Linear Algebra Done Right
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
In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist
From playlist Determinants
Ch 9: What are Hermitian operators? | Maths of Quantum Mechanics
Hello! This is the ninth chapter in my series "Maths of Quantum Mechanics." In this episode, we'll take a look into what Hermitian operators are, and some of their properties. Then, we'll show how we can use our physical intuition to actually derive that physical observables must be Hermi
From playlist Maths of Quantum Mechanics
Algebraic Topology - 8.1 - Right Adjoints Preserve Limits (RAPL)
Right adjoints preserve limits. Errata: Arkamouli Debnath points out @ 10:04 I mean to write Sets and not Top on the RHS.
From playlist Category Theory Crash Course
The Inverse of a 4 by 4 Matrix Given the Determinant and Cofactor Matrix
This video explains how to find the inverse matrix of a 4 by 4 matrix using the adjoint method given the determinant and the cofactor matrix.
From playlist Inverse Matrices
Lecture 18: The Adjoint of a Bounded Linear Operator on a Hilbert Space
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=BctaYoR9tOY&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
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
[Lesson 13] QED Prerequisites - The Pauli Spin Matrices...from scratch!
The purpose of this video is to motivate the Pauli Spin matrices from first principles. We will use these matrices a lot during the study of QED and it is critical that every aspect of their design and origin is well understood. This video begins by describing what it means to "rotate a sp
From playlist QED- Prerequisite Topics