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The Kronecker Product of two matrices - an introduction
 
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This video explains what is meant by the Kronecker Product of two matrices, and discusses some of this operation's uses in econometrics. Check out http://oxbridge-tutor.co.uk/graduate-econometrics-course/ for course materials, and information regarding updates on each of the courses. Check out https://ben-lambert.com/econometrics-course-problem-sets-and-data/ for course materials, and information regarding updates on each of the courses. Quite excitingly (for me at least), I am about to publish a whole series of new videos on Bayesian statistics on youtube. See here for information: https://ben-lambert.com/bayesian/ Accompanying this series, there will be a book: https://www.amazon.co.uk/gp/product/1473916364/ref=pe_3140701_247401851_em_1p_0_ti
Views: 17175 Ben Lambert
Kronecker Matrix Product - properties
 
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This video provides a description of the properties of the Kronecker matrix Product, which then allow for construction of more elaborate estimators in matrix form. Check out http://oxbridge-tutor.co.uk/graduate-econometrics-course/ for course materials, and information regarding updates on each of the courses. Check out https://ben-lambert.com/econometrics-course-problem-sets-and-data/ for course materials, and information regarding updates on each of the courses. Quite excitingly (for me at least), I am about to publish a whole series of new videos on Bayesian statistics on youtube. See here for information: https://ben-lambert.com/bayesian/ Accompanying this series, there will be a book: https://www.amazon.co.uk/gp/product/1473916364/ref=pe_3140701_247401851_em_1p_0_ti
Views: 5814 Ben Lambert
Kronecker Product of two matrices
 
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Kronecker Product of two matrices in image processing. AXB is not equal to BXA. ......................................................... GATE lectures on SIGNAL AND SYSTEM - by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI1qBFREKxhFbBR8veKrYj60 DIGITAL LOGIC DESIGN - by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI0V04wTbaqUWvcvAE_B98Qj DSP by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI1VEDhEOVNHrTs_pzt684ou signal and system by SHRENIK JAIN https://www.youtube.com/playlist?list=PLfP-D1tg0DI2Fpj_oV4VvLax4JJVL_kW2 DBMS by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI0D1MSTRXFr1X6bb_ZI0E7W ANALOG ELECTRONICS by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI3HaJdHpBu7XX-m9c6mANZk OPERATING SYSTEM -by SHRENIK JAIN https://www.youtube.com/playlist?list=PLfP-D1tg0DI1U3Xe4ynk6ocVQl2qKoDoB CONTROL SYSTEM - by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI1Cwku-ZLD-ofrsLHd5dHQy Engineering Maths https://www.youtube.com/playlist?list=PLfP-D1tg0DI0Kavkv81ZvQI8g7VSiVIm_ VLSI - by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI2Sn1DVzGdIeGyuIUjhJ9zp Limits and Continuity - by Siddhant Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI3Ln9qhdNlIbRR1gAqrGXH0 INTEGRATED CIRCUIT (IC) by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI1yEx1fdhqA8jR5WtCJvQN5 IMAGE PROCESSING - by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI2F_PAG8Z6WxZgqBK0jG_-D PROBABILITY by Shrenik Jain https://www.youtube.com/playlist?list=PLfP-D1tg0DI2KD99RmEobWaLiG4bZPNPN ......................................................... ANY DOUBT ? ASK ON FB page . facebook link : https://www.facebook.com/studysimplified/ quora link : https://www.quora.com/profile/Shrenik-Jain-51
Views: 507 Shrenik Jain
44 - The Kronecker Product of two matrices - an introduction
 
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This video explains what is meant by the Kronecker Product of two matrices, and discusses some of this operation's uses in econometrics. If you are interested in seeing more of the material on graduate level econometrics, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXj-nXiNzO1aaItNDm30e01 For more information on econometrics and Bayesian statistics, see: https://ben-lambert.com/
Views: 766 Ox educ
Matrix multiplication with tensor notation
 
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We can use indices to write matrix multiplication in a more compact way.
Views: 10055 PhysicsHelps
The Kronecker Product 1 - Kyle Kloster
 
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Kyle Kloster, Purdue University Math Department PUNLAG is a student-led seminar in numerical linear algebra at Purdue University. Definitions, examples, basic properties. In particular, how eigen-information of A \kron B is exactly determined by eigen-information of A and of B. We used a Kronecker product perspective to show an easier way of studying the Poisson matrix that caused so many students so much pain in CS515 Numerical Linear Algebra. Continued in part 2: https://www.youtube.com/watch?v=ypN5CbB1lvY&feature=youtu.be
Views: 2725 Kyle Kloster
19 Linear Algebra in Matlab Part 2 Kronecker Tensor Product | Matrix Norm | Multi Thread Computation
 
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MATLAB MATHEMATICS IN MATLAB LINEAR ALGEBRA PART 2 Kronecker Tensor Product, What is Vector Norm, Matrix Norm, Multi thread Computation with Linear algebra functions, System of linear equations, What is Mrdivide and Mldivide, Using Multi thread Computation with system of linear equation, Iterative methods for solving of linear equations, Inverse and Determinants, What is Pseudo Inverse, Video by Edupedia World (www.edupediaworld.com), Online Education, All Right Reserved.
Views: 2272 Edupedia World
Kronecker Product.
 
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Views: 134 118yt118
Linear Algebra 20j: The Dot Product, Matrix Multiplication, and the Magic of Orthogonal Matrices
 
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https://bit.ly/PG_Patreon - Help me make these videos by supporting me on Patreon! https://lem.ma/LA - Linear Algebra on Lemma https://lem.ma/prep - Complete SAT Math Prep http://bit.ly/ITCYTNew - My Tensor Calculus Textbook
Views: 4457 MathTheBeautiful
Mathematics: Trace of a Matrix
 
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Trace of a matrix and it's properties explained. To ask your doubts on this topic and much more, click here: http://www.techtud.com/video-lecture/lecture-trace
Views: 32104 Techtud
The Kronecker Product 2 - Kyle Kloster
 
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Kyle Kloster, Purdue University Math Department PUNLAG is a student-led seminar in numerical linear algebra at Purdue University. More on the Kronecker product: the mixed product property, solving matrix equations, and the nearest Kronecker product problem. This video is the conclusion from part 1, available here: http://youtu.be/6Nj2lJTTKIQ
Views: 852 Kyle Kloster
Kronecker product
 
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In mathematics, the Kronecker product, denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a generalization of the outer product (which is denoted by the same symbol) from vectors to matrices, and gives the matrix of the tensor product with respect to a standard choice of basis. The Kronecker product should not be confused with the usual matrix multiplication, which is an entirely different operation. The Kronecker product is named after Leopold Kronecker, even though there is little evidence that he was the first to define and use it. Indeed, in the past the Kronecker product was sometimes called the Zehfuss matrix, after Johann Georg Zehfuss who described the matrix operation we now know as the Kronecker product in 1858. This video is targeted to blind users. Attribution: Article text available under CC-BY-SA Creative Commons image source in video
Views: 1350 Audiopedia
Tensor products
 
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I discuss tensor products.
Views: 51868 Jim Fowler
Calculus 3: Tensors (2 of 28) Tensors Represented in a Matrix
 
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Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and visually show how tensors, scalar, vector, dyad, and triad, are represented by a matrix. Next video in the series can be seen at: https://youtu.be/brnzaYNFJ1w
Views: 3501 Michel van Biezen
Garnet Chan "Matrix product states, DMRG, and tensor networks" (Part 1 of 2)
 
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Garnet Chan Matrix product states, DMRG, and tensor networks Part 1 of 2 Day 4, Session 2 Summer School on Emergent Phenomena in Quantum Materials 2015 @ Cornell http://www.lassp.cornell.edu/events/epiqs2015
Trace and determinant as invariants, tensor product, diagrams
 
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Explains how invariants of linear transformations (such as trace and determinant) arise from thinking about basis-independent operations and diagrams. With corrected closed captioning.
Views: 1915 Linear Algebra
Index/Tensor Notation - Introduction to The Kronecker Delta - Lesson 1
 
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Subscribe for More Lessons: https://YouTube.com/WeSolveThem Tip for Good Service: https://PayPal.me/WeSolveThem Thousands of free solutions: https://WeSolveThem.com All lessons are available AD-FREE when you sign up via http://indexnotation.com/register
Views: 27586 WeSolveThem
Heinz Neudecker: "Block Kronecker products and the vecb operator"
 
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International Workshop on Linear Models, Experimental Designs, and Related Matrix Theory, University of Tampere, Finland, 6-8 August, 1990. Heinz Neudecker, University of Amsterdam, Netherlands: "Block Kronecker products and the vecb operator". Joint work with Ruud H. Koning and Tom Wansbeek, University of Groningen, Netherlands. http://dx.doi.org/10.1016/0024-3795(91)90332-Q Chair: Norman Draper.
Views: 422 UniversityOfTampere
innerouteroperatorsonmatrices: Outer, Kronecker, matrix multiplication operators between matrices.
 
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Outer, Kronecker, matrix multiplication operators between matrices.
Element-Wise Multiplication and Division of Matrices
 
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Explains element-wise multiplication (Hadamard product) and division of matrices. Part 3 of the matrix math series. Made by faculty at the University of Colorado Boulder, Department of Chemical & Biological Engineering. Check out our Engineering Computing playlists: https://www.youtube.com/user/LearnChemE/playlists?sort=dd&view=50&shelf_id=4 Are you using a textbook? Check out our website for videos organized by textbook chapters: http://www.learncheme.com/screencasts
Views: 10857 LearnChemE
Vector and Tensor Notation
 
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Transport Phenomena tensor and vector matrix multipication operations including dot product, dyad, outer product, vector tensor dot product, double dot product.
Views: 4103 ChemE.Math
18. Two State Systems (continued), Multiparticle States and Tensor Products
 
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MIT 8.05 Quantum Physics II, Fall 2013 View the complete course: http://ocw.mit.edu/8-05F13 Instructor: Barton Zwiebach In this lecture, the professor continued to talk about nuclear magnetic resonance and also introduced the tensor product. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 8426 MIT OpenCourseWare
What does Kronecker product mean?
 
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What does Kronecker product mean? A spoken definition of Kronecker product. Intro Sound: Typewriter - Tamskp Licensed under CC:BA 3.0 Outro Music: Groove Groove - Kevin MacLeod (incompetech.com) Licensed under CC:BA 3.0 Intro/Outro Photo: The best days are not planned - Marcus Hansson Licensed under CC-BY-2.0 Book Image: Open Book template PSD - DougitDesign Licensed under CC:BA 3.0 Text derived from: http://en.wiktionary.org/wiki/Kronecker_product Text to Speech powered by TTS-API.COM
Linear Algebra 11m: The Identity Matrix - The Number One of Matrix Algebra
 
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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 promptly addressed. Linear Algebra is one of the most important subjects in mathematics. It is a subject with boundless practical and conceptual applications. Linear Algebra is the fabric by which the worlds of geometry and algebra are united at the most profound level and through which these two mathematical worlds make each other far more powerful than they ever were individually. Virtually all subsequent subjects, including applied mathematics, physics, and all forms of engineering, are deeply rooted in Linear Algebra and cannot be understood without a thorough understanding of Linear Algebra. Linear Algebra provides the framework and the language for expressing the most fundamental relationships in virtually all subjects. This collection of videos is meant as a stand along self-contained course. There are no prerequisites. Our focus is on depth, understanding and applications. Our innovative approach emphasizes the geometric and algorithmic perspective and was designed to be fun and accessible for learners of all levels. Numerous exercises will be provided via the Lemma system (under development) We will cover the following topics: Vectors Linear combinations Decomposition Linear independence Null space Span Linear systems Gaussian elimination Matrix multiplication and matrix algebra The inverse of a matrix Elementary matrices LU decomposition LDU decomposition Linear transformations Determinants Cofactors Eigenvalues Eigenvectors Eigenvalue decomposition (also known as the spectral decomposition) Inner product (also known as the scalar product and dot product) Self-adjoint matrices Symmetric matrices Positive definite matrices Cholesky decomposition Gram-Schmidt orthogonalization QR decomposition Elements of numerical linear algebra I’m Pavel Grinfeld. I’m an applied mathematician. I study problems in differential geometry, particularly with moving surfaces.
Views: 2696 MathTheBeautiful
19. Multiparticle States and Tensor Products (continued)
 
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MIT 8.05 Quantum Physics II, Fall 2013 View the complete course: http://ocw.mit.edu/8-05F13 Instructor: Barton Zwiebach In this lecture, the professor continued to talk about the tensor product and also talked about entangled states, Bell basis states, quantum teleportation, etc. License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 8518 MIT OpenCourseWare
Kronecker Delta and Levi Civita
 
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Your thanks= my thanks. Hope it helps it helped me to make
Views: 45604 Matt B
Lecture 17 - Tensor Product of Algebras
 
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Tensor Product of Algebras
Calculus 3: Tensors (3 of 28) What is a Dyad? A Graphical Representation
 
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Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the physical graphical representation of a tensor of rank 2, or a dyad. A tensor of rank 2 has 9 components, which means there will be 3 vectors each representing a force or stress or something requiring x-, y-, z- representation. Next video in the series can be seen at: https://youtu.be/1AEeiLjUf1o
Views: 3615 Michel van Biezen
Pillai: Rational Systems and Hankel Matrices - Kronecker's result
 
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The Hankel matrices generated from any rational (ARMA) system impulse responses are shown to have a specific rank beyond a certain size, a result due to Kronecker. This is also true for the Hankel matrices generated from the autocorrelations of an ARMA process.
Index/Tensor Notation: Reducing The Kronecker Delta - Lesson 3
 
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Views: 13826 WeSolveThem
Tensors for Beginners 15: Tensor Product Spaces
 
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Error: at around 13:25, on the last line, the input space should be V-tensor-(V*), not (V*)-tensor-V, although the two spaces are involve vector-covector pairs, the order is different, and so they are technically different spaces. This one took a while to edit... kept noticing mistakes and having to go back and fix them. I'm sure there's at least
Views: 5841 eigenchris
Index/Tensor Notation: The scalar or dot product - Lesson 2
 
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Views: 12621 WeSolveThem
Lecture 14 - Homomorphisms and Tensor Products
 
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Homomorphisms and Tensor Products
Basic Tensors and the Tensor Outer Product - rev
 
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Definition of a 2nd order tensor, examples zero tensor, identity tensor, and tensor outer product with two additional examples of tensor outer product tensors.
Views: 4907 Sanjay Govindjee
What is a Tensor 5: Tensor Products
 
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What is a Tensor 5: Tensor Products Errata: At 22:00 I write down "T_00 e^0 @ e^1" and the correct expression is "T_00 e^0 @ e^0"
Views: 28431 XylyXylyX
VIDEO III - VECTOR AND TENSOR - DOT PRODUCT - APPLICATIONS
 
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This video deals with the dot product and its applications. A transformation matrix between two standard basis are obtained. The transpose of this matrix is also the inverse.
Views: 359 Carlos Thompson
Dirac Matrices in Higher Dimensions
 
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2^|_n/2\[Right... Contributed by: Enrique Zeleny
Views: 764 wolframmathematica
Linear Algebra 89, Adding symmetric matrices, scalar product, proofs
 
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Linear Algebra 89, Adding symmetric matrices, scalar product, proofs
Views: 531 LadislauFernandes
Index/Tensor Notation: The Kronecker Determinant Formula - Lesson 11
 
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Views: 4579 WeSolveThem