Question

Let $A=\{1,2\}$ and $B=\{2,3,4\}$, then $A\times A=\left\{\right(1,1),(1,2),(2,1),(2,2\left)\right\}$. If true enter $1$, or else enter $0$.

Answer 1

Cartesian product of two sets is found by taking or pairing each element of first set with each element of second set.
Hence, $A\times A=\left\{\right(1,1),(1,2),(2,1),(2,2\left)\right\}$.