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

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 in image processing.
AXB is not equal to BXA.
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GATE lectures on SIGNAL AND SYSTEM - by Shrenik Jain
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PROBABILITY by Shrenik Jain
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Views: 507
Shrenik Jain

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

We can use indices to write matrix multiplication in a more compact way.

Views: 10055
PhysicsHelps

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

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

Views: 134
118yt118

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

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

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

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

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

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

Subscribe for More Lessons: https://YouTube.com/WeSolveThem
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Views: 27586
WeSolveThem

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

Outer, Kronecker, matrix multiplication operators between matrices.

Views: 24
nagasuri bala venkateswarlu

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

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

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?
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

Views: 197
What Does That Mean?

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

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

Your thanks= my thanks. Hope it helps it helped me to make

Views: 45604
Matt B

Tensor Product of Algebras

Views: 1858
Introduction to Commutative Algebra

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

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Views: 13826
WeSolveThem

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

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Views: 12621
WeSolveThem

Homomorphisms and Tensor Products

Views: 2796
Introduction to Commutative Algebra

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
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

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

2^|_n/2\[Right...
Contributed by: Enrique Zeleny

Views: 764
wolframmathematica

Linear Algebra 89, Adding symmetric matrices, scalar product, proofs

Views: 531
LadislauFernandes

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Views: 4579
WeSolveThem