Cartesian product of sets (A × B = {(a,b) : a ∈ A, b ∈ B}; |A × B| = |A| · |B|)
jee-main
A × B = {(a,b) : a ∈ A, b ∈ B}; |A × B| = |A| · |B|
What each symbol means
| Symbol | What it stands for |
|---|---|
| A, B | Sets |
| (a,b) | Ordered pair |
| |A × B| | Number of elements in the Cartesian product |
When to use this
A × B ≠ B × A in general (ordered pairs). A × ∅ = ∅. A × (B ∪ C) = (A×B) ∪ (A×C).