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

VAM, applications of VAM.

applications of VAM.

Examples on log rules, Examples on Log rules: Example:      Calculate...

Examples on Log rules: Example:      Calculate (1/3)log 10   2. Solution: log b n√A = log b A 1/n = (1/n)log b A (1/3)log 10 2 = log 10 3 √2 = log 10 1.

Permutations and combinations, Consider this. You have four units A, ...

Consider this. You have four units A, B, C and D. You are asked to select two out of these four units. How do you go about this particular task? Will your methodo

Math134, how to sketch feasible set

how to sketch feasible set

International marketing, what are challenges and solution of international ...

what are challenges and solution of international marketing

Derive the probability distribution of the completion times, Derive the pro...

Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ

Find a longest common substring - suffix trees, 1. Using suffix trees, give...

1. Using suffix trees, give an algorithm to find a longest common substring shared among three input strings: s 1 of length n 1 , s 2 of length n 2 and s 3 of length n 3 .

Probability, An unbiased die is tossed twice .Find the probability of getti...

An unbiased die is tossed twice .Find the probability of getting a 4,5,6 on the first toss and a 1,2,3,4 on the second toss

Find x if circle passes through -3, The centre of a circle is (2x - 1, 3x +...

The centre of a circle is (2x - 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units.

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