Find the Cartesian product or cardinal number as requested A = {i, a}
B = {t, d, m}
Find A × B
To find the Cartesian product A × B, we need to combine every element in set A with every element in set B.
First, let's list out the elements of set A: A = {i, a}
Next, let's list out the elements of set B: B = {t, d, m}
To find A × B, we take every element in set A and pair it with every element in set B.
(i, t), (i, d), (i, m)
(a, t), (a, d), (a, m)
So, A × B = {(i, t), (i, d), (i, m), (a, t), (a, d), (a, m)}
In terms of cardinality, the cardinality of the Cartesian product A × B is equal to the product of the cardinalities of set A and set B. The cardinality of set A is 2 (since it has two elements), and the cardinality of set B is 3 (since it has three elements).
Thus, the cardinality of A × B is 2 * 3 = 6.