QuestionFind the Cartesian products: $A \times B$, $B \times A$, and $A \times A$ for $A=\{a,b,c\}$ and $B=\{1,2\}$.

Studdy Solution
Now, plug in the given values for the sets A and A to calculate the Cartesian product A x A.
$$A \times A = \{(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c)\}$$So, the Cartesian products are as follows$$A \times B = \{(a,1), (a,2), (b,1), (b,2), (c,1), (c,2)\}$$$$B \times A = \{(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)\}$$$$A \times A = \{(a, a), (a, b), (a, c), (b, a), (b, b), (b, c), (c, a), (c, b), (c, c)\}$$