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

Describe the sample of exponents , Describe the Sample of Exponents ? I...

Describe the Sample of Exponents ? Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 stu

Position vector - calculus, Position Vector There is one presentation o...

Position Vector There is one presentation of a vector that is unique in some way.  The presentation of the ¯v = (a 1 ,a 2 ,a 3 ) that begins at the point  A = (0,0,0) and ends

Calculus, I need an explanation of "the integral, from b to a, of the deriv...

I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.

What is median number of tries it took these participante, The operator of ...

The operator of an amusement park game remain track of how many tries it took participants to win the game. The subsequent is the data from the ?rst ten people: 2, 6, 3, 4, 6, 2, 8

Estimate the probability - noncritical path , An advertising project manage...

An advertising project manager developed the network diagram shown below for a new advertising campagign.  In addition, the manager gathered the time information for each activity,

How much do they save if they pay the bill inside 10 days, Oscar's Oil Comp...

Oscar's Oil Company provides customers a 5% discount if they pay their bill within 10 days. The Stevens' oil bill is $178. How much do they save if they pay the bill inside 10 days

Plane and solid mensuration, the area of a triangle is 20 and its base is 1...

the area of a triangle is 20 and its base is 16. Find the base of a similar triangle whose area is 45. Given is a regular pentagon. Find the measure of angle LHIK.

Find the perimeter of the rectangle, Find the perimeter of the figure, wher...

Find the perimeter of the figure, where AED is a semi-circle and ABCD is a rectangle.    (Ans : 76cm) Ans:    Perimeter of the fig = 20 + 14 + 20 + length of the arc (AED

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

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