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: 23296
Ben Lambert

In this video we discuss the definition of the internal and external direct products.

Views: 8706
Asterlesma

The direct product is a way to combine two groups into a new, larger group. Just as you can factor integers into prime numbers, you can break apart some groups into a direct product of simpler groups.
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
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Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison
Produced by Kimberly Hatch Harrison

Views: 65602
Socratica

Matrices are a great example of infinite, nonabelian groups. Here we introduce matrix groups with an emphasis on the general linear group and special linear group. The general linear group is written as GLn(F), where F is the field used for the matrix elements. The most common examples are GLn(R) and GLn(C). Similarly, the special linear group is written as SLn.
If you’d like to help us make videos more quickly, you can support us on Patreon at
https://www.patreon.com/socratica
We also welcome Bitcoin donations! Our Bitcoin address is:
1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9
Thank you!!
**************
We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNotes/index.html
**************
Be sure to subscribe so you don't miss new lessons from Socratica:
http://bit.ly/1ixuu9W
You can also follow Socratica on:
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Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison
Produced by Kimberly Hatch Harrison

Views: 58865
Socratica

What is the Cartesian product of two graphs? We start with a reminder of what this means just for sets and then provide the formal definition for graphs. We include a few examples to become familiar with the idea and we also briefly discuss what a hypercube (or n-cube) is in graph theory.
-- Bits of Graph Theory by Dr. Sarada Herke.
Related videos:
http://youtu.be/S1Zwhz-MhCs - Graph Theory: 02. Definition of a Graph
http://youtu.be/RURnaoPTEMI - Discrete Math: 04. Gray Codes
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - http://youtube.com/spoonfulofmaths

Views: 21178
Sarada Herke

Download the MP3 at http://www.brainwavehub.com/?product=matrices
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Want to loop the audio without the intro? Use this site and adjust the sliders - http://www.infinitelooper.com/
The 6-minute hypnosis at the start (STAGE #1) is there to help you fall asleep within the first 10-minutes of the lucid dream inducement (STAGE #2). It's therefore recommended that you listen to STAGE #1 before every session until you're confident that you can fall asleep without it, in which case just click on the annotation at the start to skip straight to the induction. The reason you have to sleep within 10 mins of STAGE #2 is so that the peak of your REM sleep/dream activity syncronizes with the triggers/affirmations at 1:11:28 secs.
STAGE #1 has the added benefit of providing several affirmations to prepare your mind for lucidity; "Tonight I will lucid dream", "I am the master of my dreams" etc. (see below)
The first 65 minutes of STAGE #2 will guide your brainwaves into a deep Delta sleep, while the remainder will transition your mind into Theta, the state in which REM sleep and dreams (at their peak intensity) occur. From 65 mins of Stage #2 onwards, there will be a number of affirmations designed to trigger lucidity. You are advised to skip to these now so that you can adjust volume levels accordingly. (1:11:28 secs )
It is important to develop the habit of performing 'reality checks' throughout the day as the affirmations will prompt you to perform these in your dream. Of course you may even trigger lucidity without this audio - but this is just a tool to help you speed up the process. The key to getting results is persistence.
------------------------------------
STAGE #1 AFFIRMATIONS (before and after the relaxation hypnosis)
------------------------------------
"The next time I am dreaming, I will know that I am dreaming
"I am the master of my dreams"
"Tonight I will have a lucid dream"
"When dreaming, I recognize that I am dreaming"
------------------------------------
STAGE #2 AFFIRMATIONS (From 1Hr 11 Mins 28 secs onwards)
------------------------------------
"You are dreaming"
"Do a reality check"
"This is a dream"
"You are taking control of your dream"
"You are now dreaming"
"Is this a dream?"
"Perform a reality check"
"I am awakening within my dream"
"I am becoming consciously aware"
90 minute sleep cycle
Lucid Dream Music: https://www.youtube.com/watch?v=yRyDqwmnLAM

Views: 2036920
The Brainwave Hub

This little tip may play a huge role when placing large, complex restorations (amalgam and composite). Preburnish the interproximal regions of your metal matrix band to obtain a better contact and gingival health - and decrease the likely hood of food impaction from the buccal and lingual. Of course, if contours and contacts are a huge issue - a full coverage restoration (indirect), will hopefully solve those problems.
This was a great tip that I read about in Sturdevant's and Summit's textbooks - later shown to me by Dr. Queso. (Thanks Ryan).
www.allthingsdentistry.com
www.dentistrylearningnetwork.com
This tooth is a part of a demonstration of complex amalgam restorations. The pins are controversial, however, a discussion regarding complex amalgam restorations is not complete without bonding, slots, grooves and pins. More to follow!

Views: 32293
All Things Dentistry

Dear Students,
In this lecture we have discussed the boolean product of the matrices, the procedure to solve & calculate the boolean products of the two matrices.
Watch the video and learn the concept.
Thank you.

Views: 723
Arihant Online Academy

For more cool math videos visit my site at http://mathgotserved.com or http://youtube.com/mathsgotserved
Multiplicación de Matrices 3x3
Good day students in this clip were going to be going over an easy trick or method for multiply matrices in the forget to go to mathgotserved.com of to see what collection of great math tutorials. Right let's take a look at the first example of problem number one is a were to find of the product of these two matrices two one four five are multiplied by three two five one okay let's a were to find the product is to matrices of course the product of matrices are not always defined so for so we have to determine if the product is defined that can be done by looking at the dimension of a matrices this has to Rosen to: so this is the two by two oh in neuritis in the bottom so this is a two by two matrix and this matrix right here the two by two matrix now how do we know if the of product is the find what we do is we look at the column of the first of the of the called with the call this the multiply matrix multiplier in then we can call that the multiply can't matrix okay right so we look at the column of the multiply matrix and the role of the multiply can matrix and what ask ourselves are these two numbers the same as is number and is number our data same in the answer is yes so said it equal that we can multiply them okay. The product is the find what is the dimensions of the product going to be to determine that you look at the role of the multiply matrix and that on the of column of the multiply can matrix and that will be the dimensions of our product so we should expect to get it to by two matrix as the final result right now since is determined that the product of these matrices us to find of let's go ahead and use of the trick I was going to show you so why is it important why am I doing this tutorial make sure you this trick well multiply matrices is not that difficult, but the process can get cluttered okay and when you have quadrant the workspace is very easy to make little arithmetic errors with Joseph your answer is with the have blanketed I flex eight on we could start to invert numbers and make us to the mistakes so the definitely pain that's why of abolishing this method okay so what you going to do is you going to basically of set up your product in such a way that it's very difficult to make mistakes always been is basically saying us also for success okay so I'm going to take the multiply the way that you multiply matrix and angle with that first before I see how to do this is you multiply the role in in the multiply matrix by the column of of the multiply can matrix okay you multiply like this and then you do that and then you do this any go to bottom and that embodiment in this again the cube enrolled has caller times column and that's how you get your answer. So that rotation back-and-forth between rows and columns the multiply matrix and the multiply can matrix is a lot of room for mistakes and disorganization okay so that's why, one issue disclosure it so just remember that you multiply the Rose of the first to multiply matrix with the column of the multiply can the second matrix okay now, with that in mind with me show you how to set this up what you do is you take the Rose and the multiply multiply matrix and my demise coordinates okay this is the time to buy to so let's write it as a of X to the massacre next to life's is to, for for the first wrote it to come of four and then for the second row one, five so into dimensions you can think of this is X Y X Y right now this is the co-part of will going to write down the columns in the multiplicand matrix in a horizontal orientation right so three two is the column in in in the second matrix right here. So write it as three, two right and then five one I'm going to oriented in a horizontal fashion five, one right to is go over this again to multiply arose that the Rosen the multiply matrix right him just as is, but the columns in the multiply can matrix the second matrix and multiply by you just oriented horizontally okay right now that I have a set up like this is such as this cake of from here on out so what were going to do is basically multiply the numbers by multiplying I'm corresponding coordinates okay so excess times X Y can't why and you find the Psalm of the products okay so for this of coordinate and that coordinate doesn't going to the first entry two times three is six plus four times two eight okay what six is eight fourteen so that the first entry in our resultant matrix of mining the one times three three plus four times to ten three percent thirteen right, one and then if two times five multiply the X is ten plus the wise four times one for added of fourteen okay and then the next one we have one times five five plus one times five five of them together get ten so your our final matrix the product of this to matrices is fourteen fourteen thirteen and ten right so

Views: 89526
maths gotserved

This animation explains where matrices are used in forward kinematics. It was produced by Swinburne engineering and multimedia students.
Multimedia students: Aaron Vanston, Kiersten Casey and Marnie Edgar
Engineering students: Scott Fraser, Michelle Bravo, Tiran Fernando,
Academics: Birgit Loch, Michelle Dunn, Julia Lamborn
For more like this, see: https://www.youtube.com/user/swinvideos/search?query=maths+relevance

Views: 4478
Swinburne Commons

In this video, I show you how to solve the Matrix Multiplication Optimization problem with Dynamic Programming.

Views: 24865
zooce

In mathematics, matrix addition is the operation of adding two matrices by adding the corresponding entries together. However, there are other operations which could also be considered as a kind of addition for matrices, the direct sum and the Kronecker sum.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 56
Audiopedia

Algebra 1M - international
Course no. 104016
Dr. Aviv Censor
Technion - International school of engineering

Views: 20216
Technion

Multiply Matrix using calculator , If you want to Multiply two matrix then by using calculator you can easily calculate.
using calculator for solving your time will be saved and correct result.
after watching the video you will able to Multiply matrix easily using calculator.using 991es plus calculator Matrix multiplication is done.Multiply Matrix in calculator.Multiplication up to 3x3 matrix can be done in calculator.Multiply Matrix A and B in calculator.

Views: 444847
Arohan kumar

Inverse of 3x3 matrix example. Visit http://Mathmeeting.com to see all all video tutorials covering the inverse of a 3x3 matrix.

Views: 1835386
Math Meeting

Algebra 1M - international
Course no. 104016
Dr. Aviv Censor
Technion - International school of engineering

Views: 17782
Technion

Given some matrices, in what order you would multiply them to minimize cost of multiplication.
https://github.com/mission-peace/interview/blob/master/src/com/interview/dynamic/MatrixMultiplicationCost.java

Views: 331276
Tushar Roy - Coding Made Simple

Descrição

Views: 1067
LadislauFernandes

Matrix Chain Multiplication
Dynamic Programming
Buy C++ course on Udemy.com
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Course covers All the topics from Basics to Advance level.
Every topic is covered in greater detail with suitable examples.
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Views: 265481
Abdul Bari

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A Trick to & How to find the INVERSE of a 3x3 Matrix, this is shortcut method to find inverse. this is best alternative to Gauss -Jordan or Row Column Transformation method. Useful for CBSE NCERT class 12. And calculus . Inverse of matrices 3x3 & 2x2 . elementary operation transformation is Already Explained in HINDI on my channel.Matrices in imp topic for CBSE(NCERT) class 12 .You can also find it useful for NCERT Solution.
tricks of matrices are also useful in JEE and CET.
Matrices and Determinants in Most imp. Chapter for class 12 .
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Views: 2210470
Mandhan Academy

Rings are one of the key structures in Abstract Algebra. In this video we give lots of examples of rings: infinite rings, finite rings, commutative rings, noncommutative rings and more!
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Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison (@mlh496 on Twitter)
Produced by Kimberly Hatch Harrison

Views: 73538
Socratica

find the inverse of matrix using calculator , If you want to calculate inverse of matrix then by using calculator you can easily calculate.
using calculator for solving your time will be saved and correct result.
after watching the video you will able to calculate the inverse of matrix easily using calculator.using 991es plus calculator calculate inverse of matrix.solve inverse in calculator.

Views: 643314
Arohan kumar

What is a permutation matrix? Define 2x2 and 3x3 permutation matrices.
Take my Coursera course at
https://www.coursera.org/learn/matrix-algebra-engineers
Download lecture notes from
http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf

Views: 4406
Jeffrey Chasnov

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: 978
Ox educ

We look at finding a more optimal way of multiplying a number of matrices together using dynamic programming!

Views: 165030
CSBreakdown

Demonstration of the use of the Casio fx-991ES PLUS calculator in matrix mode.
Using the equation mode for an augmented matrix solving a system of equations.
Using the matrix mode for creating matrices, multiplication, determinants and inverses.

Views: 525267
DLBmaths

Views: 4481
Linear Algebra

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: 5567
MathTheBeautiful

This video is part of an online course, Intro to Parallel Programming. Check out the course here: https://www.udacity.com/course/cs344.

Views: 33136
Udacity

Learn via an example how to take a square matrix [A] and decompose it into LU form. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/lu_decomposition.html

Views: 345857
numericalmethodsguy

From two vector space, we can construct a third, called the external direct sum of the first two. This video explains how.

Views: 3977
Lorenzo Sadun

Please watch: "Group Theory - Lagrange's theorem in Hindi | GATE | CSIR NET | B.Sc Preparation"
https://www.youtube.com/watch?v=CiV2wUm1Nkc --~--
Please Subscribe Your Channel THE MATHEMATICS WORLD.
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Linear equation( Consistent and inconsistent System ) in Hindi Part -2 : http://bit.ly/2iM7nOS
Linear equation( Consistent and inconsistent System ) in Hindi Part -1 : https://youtu.be/bU9vkEYyJ8E
hermitian and skew harmition matrix : http://bit.ly/2y60yto
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Symmetric and skew symmetric Matrices : http://bit.ly/2iwDfXl
Nilpotent, Idempotent, Involuntary Matrix : http://bit.ly/2gDKb0x
Orthogonal matrix in Hindi : http://bit.ly/2ixRJGm
Multiplication of matrices With Same And Different Order in hindi :
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Find Inverse of a matrix by a shortcut method: http://bit.ly/2yNfqAg
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Doubly Stochastic Matrix With Example in Hindi : http://bit.ly/2yMynS2
How to calculate Eigen values in matrix - Hindi : http://bit.ly/2y4JQiQ
Thanks For watching..

Views: 20214
The Mathematics World

PCPs of Sub-Constant Error Via Derandomized Direct Product -
Or Meir
The Weizmann Institute of Science
October 19, 2009
A PCP is a proof system in which the proofs that can be verified by a verifier that reads only a very small part of the proof. One line of research concerning PCPs is trying to reduce their soundness error (i.e., the probability of accepting false claims) as much as possible. In particular, using low-degree curves, it is possible to construct PCP verifiers that use only two queries and have soundness error that is an inverse poly-logarithmic function in the input length.
In this talk, we show a an alternative construction of such PCPs, using a simpler and less algebraic approach. This is done by extending the derandomized direct product test of Impagliazzo, Kabanets and Wigderson (STOC 09) to a construction of a PCP. To that end, we identify general properties of a PCP that allow amplifying its soundness by the means of direct product. We then show that any PCP can be transformed into one that achieves those general properties by embedding the corresponding constraint graph on a de-Bruijn graph. No prior knowledge of PCPs will be assumed.
(This is joint work with Irit Dinur.)
For more videos, visit http://video.ias.edu

Views: 44
Institute for Advanced Study

This video explains how to find the LU Decomposition of a square matrix using a shortcut involving the opposite of multipliers used when performing row operations.
Site: http://mathispower4u.com
Blog: http://mathispower4u.wordpress.com

Views: 333326
Mathispower4u

Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such group is a direct sum of a finite number of Z (integers) together with a finite commutative group (the torsions part).
Non-commutative groups are also briefly introduced, mostly through the simplest example of S_3, the symmetric group on three objects, or alternatively the group of 3x3 permutation matrices. We illustrate that cosets of a subgroup in the commutative case are of two different types: left and right, and this makes the situation more complicated. When the left and right cosets agree we are in the situation of a normal group, and then the cosets do form a quotient group.
Thanks to Nguyen Le for filming.
A screenshot PDF which includes AlgTopReview to 35 can be found at my WildEgg website here: http://www.wildegg.com/store/p120/product-algebraic-topology-D-screenshot-pdf

Views: 14623
Insights into Mathematics

FINDING INVERSE OF A MATRIX SHORT-CUT METHOD.
This SUPER TRICK will help you find INVERSE of any 3X3 matrix in just 30 seconds.
#mathshortcuts#inverseofamatrix#Mathtricks
© Copyright 2017, Neha Agrawal. All rights reserved.
Very useful for BOARDS as well (you can verify your answer)
Shortcuts and tricks to find LIMITS in 2 seconds.
You can now follow me on FACEBOOK as well. Click on the link-
https://www.facebook.com/NehaAgrawalMath/
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https://www.youtube.com/playlist?list=PLTa2m6WeLW__YWn9A-op9wedK7kD_zTFt
PLAYLIST FOR THREE DIMENSIONAL GEOMETRY
https://www.youtube.com/playlist?list=PLTa2m6WeLW_-mhXBuPcd93jPGLDSjxSks
PLAYLIST FOR MATRICES AND DETERMINANTS
https://www.youtube.com/playlist?list=PLTa2m6WeLW_9J9Jif5iQMFZ5aaGymwk-M
PLAYLIST FOR LINEAR PROGRAMMING PROBLEM (LPP)
https://www.youtube.com/playlist?list=PLTa2m6WeLW_-Ph8k4lIl3kKpTFWO4TpSt
PLAYLIST FOR RELATIONS AND FUNCTIONS
https://www.youtube.com/playlist?list=PLTa2m6WeLW_9i-1xiAwZ23U57vRobeJ0J
PLAYLIST FOR PROBABILITY
https://www.youtube.com/playlist?list=PLTa2m6WeLW_8FXXvlcbS5cbx9ZLjDJMGi
PLAYLIST FOR INTEGRATION
https://www.youtube.com/playlist?list=PLTa2m6WeLW_8ZHPXS1YIbweyg35ytmByS
PLAYLIST FOR APPLICATION OF DERIVATIVES
https://www.youtube.com/playlist?list=PLTa2m6WeLW__9QqBNd9RT9FDHs9x6z3p6
PLAYLIST FOR DIFFERENTIATION/DERIVATIVES
https://www.youtube.com/playlist?list=PLTa2m6WeLW_8TLgSrV-g1NOzViEfZGIdY
PLAYLIST FOR CONTINUITY
https://www.youtube.com/playlist?list=PLTa2m6WeLW_8KsyD5M3LoY9YxMMcRok75
PLAYLIST FOR INVERSE TRIGONOMETRIC FUNCTIONS
https://www.youtube.com/playlist?list=PLTa2m6WeLW_-esFJBOyg225Dh-9wQi_D6
DETERMINANTS
https://youtu.be/bnaKGsLYJvQ To find Determinant of a 2X2 and 3X3 matrix
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Neha Agrawal Mathematically Inclined

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Linear Algebra

Homomorphisms and Tensor Products

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Introduction to Commutative Algebra

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In this video I will explain and show you how to calculate the direction cosines.
Next video in this series can be seen at:
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Michel van Biezen

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https://lem.ma/LA - Linear Algebra on Lemma
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MathTheBeautiful

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JJtheTutor

This video explains how to use LU Decomposition to solve a system of linear equations.
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Mathispower4u

Matrix Chain Multiplication Program and Explanation
to learn Dynamic Programming Approach visit https://youtu.be/prx1psByp7U
Program Download
http://abdulbari.tech/algorithms/Matrixchain.cpp
Buy C++ course on Udemy.com
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Abdul Bari