Cartesian product of sets, Mathematics

Assignment Help:

The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What we indicate by ordered pair is that the pair (a, b) is not the same pair as (b, a) unless a = b. It implies that AΧB ≠ BΧA in common. Also if A contains m kind of elements and B contains n elements then AΧB have mΧn elements.

Same as we may define AΧA = {(x, y); x€A and y€A}. We may also define cartesian product of more than two sets.

 


Related Discussions:- Cartesian product of sets

Solids, a can of soup is shaped like wich solid

a can of soup is shaped like wich solid

Plot your data on a scatter plot, Devise data that link a certain relations...

Devise data that link a certain relationship OF YOUR CHOOSING between two variables. Write a rationale stating why you chose this particular data and what you are planning to STAT

Brahmaguptas problem, How to solve Brahmaguptas Problem? Explain Brahmagupt...

How to solve Brahmaguptas Problem? Explain Brahmaguptas Problem solving method?

Probability., an insurance salesman sells policies to 5 men, all of identic...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 30 years hence is 2/3.Find the p

Describe three ways to write negative fractions, Describe Three Ways to Wri...

Describe Three Ways to Write Negative Fractions? There are three different ways that a negative fraction can be written. They are all represent the same value. 1. The negative

Number theory, show that all primes except 2, are of the form 4n-1 or 4n+1...

show that all primes except 2, are of the form 4n-1 or 4n+1.

Calculate the profits per acre strategy, A farmer grows apples on her 600 a...

A farmer grows apples on her 600 acre farm and must cope with occasional infestations of worms. If she refrains from using pesticides, she can get a premium for "organically grown"

Maths Assessment, Assessment task This Term Assessment will require you ass...

Assessment task This Term Assessment will require you assess the effectiveness of your current lunch budget and prepare a proposal to your caregiver to seek permission to be given

Percent of a number, Pay $40 for plan offered for $30 for plan what percent...

Pay $40 for plan offered for $30 for plan what percentage of savings

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd