Cayley-Hamilton Theorem Example 2
Matrix Theory: Let A be the 3x3 matrix A = [1 2 2 / 2 0 1 / 1 3 4] with entries in the field Z/5. We verify the Cayley-Hamilton Theorem for A and compute the inverse of I + A using a geometric power series.
From playlist Matrix Theory
Cayley-Hamilton Theorem: General Case
Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.
From playlist Matrix Theory
Jacobian chain rule and inverse function theorem
A lecture that discusses: the general chain rule for the Jacobian derivative; and the inverse function theorem. The concepts are illustrated via examples and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
In this video, I present another example of Stokes theorem, this time using it to calculate the line integral of a vector field. It is a very useful theorem that arises a lot in physics, for example in Maxwell's equations. Other Stokes Example: https://youtu.be/-fYbBSiqvUw Yet another Sto
From playlist Vector Calculus
Cayley-Hamilton Theorem: Example 1
Matrix Theory: We verify the Cayley-Hamilton Theorem for the real 3x3 matrix A = [ / / ]. Then we use CHT to find the inverse of A^2 + I.
From playlist Matrix Theory
The definition of the characteristic polynomial (without using determinants). The Cayley-Hamilton Theorem.
From playlist Linear Algebra Done Right
How to Determine if Functions are Linearly Independent or Dependent using the Definition
How to Determine if Functions are Linearly Independent or Dependent using the Definition If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Th
From playlist Zill DE 4.1 Preliminary Theory - Linear Equations
Physics Ch 67.1 Advanced E&M: Review Vectors (67 of 113) Stoke's Theorem
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn that Stoke’s Theorem (The Fundamental Theorem of Curl) means the “bending” or curl of the vector field everywhere on th
From playlist PHYSICS 67.1 ADVANCED E&M VECTORS & FIELDS
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
Nader Engheta: "Wave-Matter Interaction in Four-Dimensional (4D) Metamaterials"
Theory and Computation for 2D Materials "Wave-Matter Interaction in Four-Dimensional (4D) Metamaterials" Nader Engheta, University of Pennsylvania Abstract: Metamaterials and metasurfaces have provided unprecedented possibilities in achieving “extremes” in wave-matter interaction. Numero
From playlist Theory and Computation for 2D Materials 2020
Alien Primes: The Wall–Sun–Sun Primes #SoME2
Is there anyone out there in the cosmos? The search for aliens seems to have been fruitless so far, even though there are good statistical reasons to believe that there should be other civilizations out there, perhaps even infinitely of them. In this entry to 3Blue1Brown's Summer of Mathem
From playlist Summer of Math Exposition 2 videos
Representation of finite groups over arbitrary fields by Ravindra S. Kulkarni
PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund
From playlist Group Algebras, Representations And Computation
Positive Lyapunov exponents and mixing in stochastic fluid flow. Part III - Samuel Punshon-Smith
Topic: Positive Lyapunov exponents and mixing in stochastic fluid flow. Part III Speaker: Samuel Punshon-Smith Affiliation: IAS Date: May 5, 2022 In this three part lecture series, we will present a series of works by Bedrossian, Blumenthal and Punshon-Smith on the chaotic mixing and enha
From playlist Seminar in Analysis and Geometry
Institutional bias explained by a mathematician - Indira Chatterji
IHES celebrated the 2022 International Day of Women in Mathematics through an event that took place on Tuesday, May 17. Indira Chatterji, professor of mathematics at the University Côte d’Azur, gave a talk entitled Institutional bias, explained by a mathematician. #womeninmaths #womeninmat
From playlist IHES celebrates women in mathematics
Converse of Isosceles Triangle Theorem: GeoGebra Discovery
Quick 2:20 video that illustrates how GeoGebra's Geometry App can Help Foster Active, Student-Centered, Discovery-Based Learning. In this case, students can discover the converse of the Isosceles Triangle Theorem.
From playlist Geometry: Dynamic Interactives!
Simple grps 2 by N. S. Narasimha Sastry
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
LoneStarRuby 2015 - Crashing on Autopilot by Paul Stefan Ort
Software connects people and ideas, but what if your ideas are flawed? Cognitive biases derail software development efforts. This talk can help you recognize and overcome them. Gain the benefits of patterns and examples through thoughtful mastery, without being bound by them. Help us capt
From playlist LoneStarRuby 2015
We're all in this together. (0:00) Resolutions and channel plans in 2021 (7:50) Vorlesungen zur Philosophie der Mythologie: (Komplettausgabe, aus sämmtliche Werke, Zweite Abteilung, Erster und zweiter Band) by Friedrich Wilhem Joseph von Schelling (9:40) Lie Groups, Lie Algebras, and Repr
From playlist Reviews
Wilson's Theorem ← Number Theory
A proof of Wilson's Theorem, a basic result from elementary number theory. The theorem can be strengthened into an iff result, thereby giving a test for primality. (Though in practice there are far more efficient tests.) Subject: Elementary Number Theory Teacher: Michael Harrison Artist
From playlist Number Theory