A = {1,2} B = {1,2,3} find the set A x B

is the answer:
AxB = {{1},{1,2},{1,3},{2},{2,3}} ?

Question

A = {1,2} B = {1,2,3} find the set A x B 

is the answer:
AxB = {{1},{1,2},{1,3},{2},{2,3}} ?

anonymous · Answer

hi you need help 1st you look cute 2nd i will help

kirbykirby · Answer

I believe this is for the Cartesian product?

In general... if $a$ is an element of $A$ and $b$ is an element of $B$, then the Cartesian product $A \times B$ is:
$$ A\times B=\{ (a,b) \mid a \in A \text{ and }b\in B\}$$
So take every element of A and associate it with each element of B. It's important to know that the order of the pair $(a,b)$ matters, because $B \times A$ gives the set all of pairs $(b, a)$ instead, and this is NOT the same!

kirbykirby · Answer

You can think of the Cartesian product where A represents the x-axis and B represents the y-axis, and you find all coordinates that encompass the "rectangle" formed by A and B:

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