Question

what is the defination of the cartision product​

Answer 1

Step-by-step explanation:

In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs where a is in A and b is in B. In terms of set-builder notation, that is {\displaystyle A\times B=\{\mid a\in A\ {\mbox{ and }}\ b\in B\}.}

Answer 2

Answer:

Step-by-step explanation:

Cartesian product definition

 

The Cartesian product X×Y between two sets X and Y is the set of all possible ordered pairs with first element from X and second element from Y:

X×Y={(x,y):x∈X and y∈Y}.

One example is the standard Cartesian coordinates of the plane, where X is the set of points on the x-axis, Y is the set of points on the y-axis, and X×Y is the xy-plane.

If X=Y, we can denote the Cartesian product of X with itself as X×X=X2. For examples, since we can represent both the x-axis and the y-axis as the set of real numbers R, we can write the xy-plane as R×R=R2.