Learn Cartesian Product of Two Sets in the chapter of Relations and Functions. Cartesian Product can be defined between two non empty sets, say P & Q, represented by P cross Q is a set of ordered pair where first member of every order pair is from P & 2nd member from set Q. Let's see an example of Cartesian Product of two Sets .
Say, set A = {1, 2}, Set B = {a,b}
Cartesian Product of two sets A & B is represented by A cross B and is given by, total possible relations between set A & B
A cross B = { (1,a). (1,b), (2,a), (2,b)}
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IMA Videos

This video contains the basic of Reflexive and Irreflexive Relations will help you in various competitive exams like GATE , NET, PSU'S etc
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KNOWLEDGE GATE

We introduce ordered pairs and cartesian products. We also look at the definition of n-tuples and the cardinatliy of cartesian products.
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TheTrevTutor

Namaste to all Friends,
This Video Lecture Series presented By VEDAM Institute of Mathematics is Useful to all students of Class 11th & 12th of CBSE, ICSE, MP Board and other boards of India.
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Jaipal Vishwakarma

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L Zer

http://finitehelp.com is dedicated to helping students learn faster and party longer. Our goal is to teach you finite math as quickly as possible with the highest retention possible so that you can spend LESS TIME ON HOMEWORK AND MORE TIME HAVING FUN and still get good grades.
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FiniteHelp

http://finitehelp.com/
Using tables to find cartesian products.

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FiniteHelp

http://adampanagos.org
This problem works with the sets A, B, and C and shows that two different sets (involving Cartesian products and set differences) are equal to each other.
If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!

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Adam Panagos

Chapter 9 Sequence and Series https://www.youtube.com/playlist?list=PLcWcbMyDDiuRrj24m6U9bIo_b-nHuHYEo
Chapter 8 Binomial Theorem https://www.youtube.com/playlist?list=PLcWcbMyDDiuRIttVq-Kr4Oexb8HsYy1OF
Chapter 7 Permutation and Combination https://www.youtube.com/playlist?list=PLcWcbMyDDiuQmKOoKV-SSbB19Ltlk_8PT
Chapter 6 Linear equalities https://www.youtube.com/playlist?list=PLcWcbMyDDiuSziBLgwxYEi9UYI0d1u17F
Chapter 5 Complex number https://www.youtube.com/playlist?list=PLcWcbMyDDiuTsjQAOF57zHUgHz6f-FIWX
Chapter 4 PMI https://www.youtube.com/playlist?list=PLcWcbMyDDiuRYgI5JqMzK6CXDmN2V9Kfw
Chapter 2 Relations and Functions https://www.youtube.com/playlist?list=PLcWcbMyDDiuQNd1nlI1wSWq87rpk-JQmN
Chapter 3 Trigonometry https://www.youtube.com/playlist?list=PLcWcbMyDDiuTlH7S9r5_uFYOEWa5C2fZw
Chapter 1 Sets https://www.youtube.com/playlist?list=PLcWcbMyDDiuTH_4LfZVXV4nl244tcJu9G
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R B Classes

This video gives an example of a proof of a set identity involving a Cartesian product, highlighting how to work with elements of those products.

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GVSUmath

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Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Today we look at ordered pairs and cartesian products.

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TheTrevTutor

We do two proofs with Cartesian Products.
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TheTrevTutor

This short video details how to construct the Cartesian Cross Product of two sets (A X B).

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Maths and Stats

In this video, we have studied the topic Cartesian product of three sets. Cartesian product (or product set) is a construction to build a new set out of a number of given sets. Each member of the Cartesian product corresponds to the selection of one element each in every one of those sets.
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Guru Bix

http://www.learn4make.com
Cartesian Product of Sets in Urdu and hindi learn4learning
Cartesian Product of Sets in Urdu and hindi learn4learning

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tutorialdvds

(1) Overview of basic terminology associated with intro probability courses.
Power Set, Cartesian Product, Cardinality

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LearnByExample

http://adampanagos.org
We work with two indexed families of sets Ai, and Bi. Define Cij as the Cartesian product of Ai and Bj, we show that union Cij is equal to the Cartesian product of union Ai with union Bj.
If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!

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Adam Panagos

This video describes about the Cartesian Product of two Sets. We will discuss about the ordered pair.

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XLClasses

let us learn the concept of relations and also know about the cartesian product of two sets with some solved examples.
For More Information & Videos visit http://WeTeachAcademy.com

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We Teach Academy Maths

This video lesson explains the concept of Cartesian Product of sets in tabular form as well as in graphical form.

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Kadas Learning

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
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Sarada Herke

Cartesian Product: Create ordered pairs, x-value from the first set and the y-value from the second set. Use parenthesis instead of curly brackets.

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Jennifer Laughlin

Understand the concept of catersian products and relations.
Relations represent the mapping of the sets.
Learn how to find the cartesian product of sets.
In crisp relation there are only two degrees of relationship between the elements of sets, i.e., “completely related” and “not related” which shows the presence and absence of the elements in sets.
Classical Relation is A binary relation or relation from A to B is a subset of A×B (catersian product)
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Simple Snippets

Relation and Functions Mathematics CBSE Class X1 Part 3 (Cartesian Product of sets - Examples)

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ExamFear Education

Fuzzy Set Theory. Cartesian Relation operations. Lec-4
FOR STUDENTS OF BCA , MCA AND CBSE NET COMPUTER SCIENCE
AND GATE COMPTER SCIENCE
Fuzzy Set Theory. Cartesian Relation operations. Lec-4

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GATE and NET Computer Science video-lec

RELATIONS AND FUNTIONS, LEARN THE DEFINITION OF CARTESIAN PRODUCT OF SETS,LEARN HOW TO CALCULATE AXB,LEARN 4 IMPORTANT POINTS IN CARTESIAN PRODUCT OF SETS
LET A,B ARE ANY TWO NON EMPTY SETS THEN CARTESIAN PRODUCT OF SET A,B IS DENOTED BY AXB AND IS DEFINED AS SET OF ALL ORDERED PAIRS FROM A AND B
TO LEARN DEFINITION OF A RELATION YOU MUST LEARN ABOUT CARTESIAN PRODUCT OF SETS

Views: 1141
BRMATHSCLASS

This lecture contains power set, the cardinality of a set and cartesian product of sets.
In this lecture, we have defined cardinality of a set for finite set only. We will discuss cardinality of an infinite set when we will learn about a countable and uncountable set.
#powerset
#cardinalityofset
#cartesianproductofsets
#cartesianproduct
#settheory
#realanalysis

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Mathematical Science

Well mostly, we show that the product is the same if and only if the sets are identical

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Joshua Helston

The Cartesian product of two sets A and B denoted A x B is the set of all ordered pairs (x,y) such that x is an element of A and y is an element of B.

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Kapetosu

In this example, we show you how to write cartesian product of two sets.We also verify a result based on intersection of two sets and find whether the cartesian product is a subset or not.
Videos in the playlists are a decently wholesome math learning program and there are some fun math challenges too, subscribe here: http://www.youtube.com/user/ mathguruonline.
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Educomp Mathguru

Set Theory Lecture #4 - Cartesian Product of Sets, Important Solved Numerical on SET Theory
Discrete Maths Video Lectures for B.Tech, M.Tech, MCA Students

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KNOWLEDGE GATE

Sets and Functions PLAYLIST: http://bit.ly/1fegZXO
Slides and Notes: http://bit.ly/1pypssb

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Blue Econ Guy

Views: 6484
Dave Sullivan

We define the Cartesian product as a derived set of combinations of two sets. We also define and explore an example of the graph set.

Views: 2892
William Nesse

Relations -Cartesian Product of three Sets. NCERT Std.XI

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MathsMynd

Please feel free to leave comments/questions on the video and practice problems below!
In this video, I cover the Kuratowski definition of ordered pairs in terms of sets. This will allow us to speak of relations and functions in terms of sets as the basic mathematical objects and will serve as our first example of how more complex objects are constructed from sets. The Cartesian product is also discussed and its intuition is explained.

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Mathoma

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In this video we look at examples involving subsets and sets. Specifically, we convert set builder notation to list notation. We do a proof on subsets. We identify elements and subsets of sets.
Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.

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TheTrevTutor

We have proved here that the Cartesian Product of Two Countable Sets is Countable
Countable Union of a number of Countable Sets is Countable:
https://www.youtube.com/watch?v=l4tppJR_q1k&t=483s

Views: 1333
Abstract Easy

This video contains the basic of Cartesian Product and Relations will help you in various competitive exams like GATE , NET, PSU'S etc
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KNOWLEDGE GATE

What is the Cartesian product of two sets? The Cartesian product can be generalized to more than two sets, but in this video we go over Cartesian products of two sets! Here is how it works. If you have two sets, A and B, then their Cartesian product, written A x B, is the set containing all ordered pairs (a, b) where a is in A and b is in B. For example, {1, 2, 3} x {x, y, z} = { (1, x), (1, y), (1, z), (2, x), (2, y), (2, z), (3, x), (3, y), (3, z) }. Notice that the cardinality of A x B is equal to the product of the cardinalities of A and B. That is, |A x B| = |A| * |B|. This is always true.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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Wrath of Math

In this video, we have studied that how to calculate number of elements in the Cartesian product of two sets with examples.
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Guru Bix