Question
Let A=1,2,3 and B=a, f , Then find a) A times B b) B times A
Solution
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(182 Votes)
Coraline
Veteran ยท Tutor for 11 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
:
## 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
: