Cartesian product
Solution
Sure, I can explain the concept of Cartesian product.
The Cartesian product, also known as a cross product, is a mathematical operation that returns a set from multiple sets. That is, for sets A and B, the Cartesian product is the set of all ordered pairs (a, b) where a is in A and b is in B.
Here are the steps to find the Cartesian product of two sets:
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Identify the sets: Let's say we have two sets, A = {1, 2} and B = {3, 4}.
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Write out the ordered pairs: The Cartesian product of A and B is the set of all ordered pairs (a, b) where a is in A and b is in B. So, we write out these pairs: (1, 3), (1, 4), (2, 3), (2, 4).
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Combine the pairs into a set: The Cartesian product of A and B is then the set of these pairs: {(1, 3), (1, 4), (2, 3), (2, 4)}.
So, the Cartesian product of A and B, often written as A x B, is {(1, 3), (1, 4), (2, 3), (2, 4)}.
Similar Questions
1. Let set A = {1, 2} and C be {3, 4} then A X B (Cartesian product of set A and B) is?a) {1, 2, 3, 4}b) {(1, 3),(2, 4)}c) {(1, 3), (2, 4), (1, 4), (2, 3)}d) {(3, 1), (4, 1)}
Cartesian product of any two sets is commutative.Group startsTrue or FalseTrue, unselectedFalse, unselected
In MYSQL database, if a table, Alpha has degree 5 and cardinality 3, andanother table, Beta has degree 3 and cardinality 5, what will be the degreeand cardinality of the Cartesian product of Alpha and Beta?
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