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

The sum of two consecutive integers is 41 integer, The sum of two consecuti...

The sum of two consecutive integers is 41. What are the integers? Two consecutive integers are numbers in sequence like 4 and 5 or -30 and -29, that are each 1 number apart. Le

Probability - applications of integrals, Probability - Applications of inte...

Probability - Applications of integrals In this final application of integrals that we'll be looking at we are going to look at probability.  Previous to actually getting into

Two bulbs are selected without replacement, A bag of 28 tulip bulbs contain...

A bag of 28 tulip bulbs contains 12 red tulip bulbs,7 purple tulip bulbs  and 9 yellow tulip bulbs,. Two bulbs are selected without replacement. Determine, a)    The probability t

Pi, pi to the ten-thousandths

pi to the ten-thousandths

Payoffs dominations, how do you no wich row or columms dominate other rows ...

how do you no wich row or columms dominate other rows or columms in a payoff

How much does kristen have left after the money is taken out, Kristen earns...

Kristen earns $550 each week after taxes. She deposits 10% of her income in a savings account and 7% in a retirement fund. How much does Kristen have left after the money is taken

Example on discrete mathematics, Suppose that at some future time every tel...

Suppose that at some future time every telephone in the world is assigned a number that contains a country code, 1 to 3 digits long, that is, of the form X, XX , XXX or followed

Triganometry, Ask question #Minimum 100 words what is the hypotunus of a r...

Ask question #Minimum 100 words what is the hypotunus of a right bangled triangle a=5@ b=25 find c accwhepted#

Undamped - forced vibrations, We will firstly notice the undamped case. The...

We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku  = F(t) It is just a non-homogeneous differential equation and we identify h

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