Subject
Home
/
Math
/
Let A=1,2,3 and B=a, F , Then Find A) Times B B) B Times

Question

Let A=1,2,3 and B=a, f , then find a) A times B b) B times A

Solution

Expert Verified
4.2 (232 Votes)
Zoey Elite ยท Tutor for 8 years

Answer

### a) \( A \times B = \{(1, e), (1, f), (2, e), (2, f), (3, e), (3, f)\} \)### b) \( B \times A = \{(e, 1), (e, 2), (e, 3), (f, 1), (f, 2), (f, 3)\} \)

Explanation

## Step 1: Define Cartesian Product ### The Cartesian product is the set of all ordered pairs where the first element is from set and the second element is from set . ## Step 2: Calculate ### For each element in , pair it with each element in . This results in the set of ordered pairs: \( \{(1, e), (1, f), (2, e), (2, f), (3, e), (3, f)\} \).## Step 3: Define Cartesian Product ### The Cartesian product is the set of all ordered pairs where the first element is from set and the second element is from set .## Step 4: Calculate ### For each element in , pair it with each element in . This results in the set of ordered pairs: \( \{(e, 1), (e, 2), (e, 3), (f, 1), (f, 2), (f, 3)\} \).