Question

empty product
\[A\times\emptyset =?\]

Answer 1

i think i understand the answer but im not sure how to explain it

Answer 2

http://cnx.org/content/m15207/latest/

Answer 3

\[A\times B=\{(x,y):(x\in A)\wedge (y\in B)\}\]

Answer 4

how can and ordered pair be a scalar?

Answer 5

but i thought \[A×∅=1\]

Answer 6

Empty set is like 0..

What do you get when you multiply anything by 0 ??

Answer 7

\[∅=\{\}\neq\{0\}\]

Answer 8

hmmm