## How many sets does Cartesian product have?

two sets

As described previously, the Cartesian product of two sets, A and B, consists of all the ordered pairs that can be constructed with the first element coming from the first set, A, and the second element coming from the second set, B.

**How do you calculate Cartesian products?**

Number of Ordered Pairs For two non-empty sets, A and B. If the number of elements of A is h i.e., n(A) = h & that of B is k i.e., n(B) = k, then the number of ordered pairs in Cartesian product will be n(A × B) = n(A) × n(B) = hk.

**Is the Cartesian product of two sets a set?**

A × B = {(a, b):(a ∈ A) and (b ∈ B)}. The following points are worth special attention: The Cartesian product of two sets is a set, and the elements of that set are ordered pairs. In each ordered pair, the first component is an element of A, and the second component is an element of B.

### What is the Cartesian product of a a B and B 1 2 }?

If A and B are square matrices such that AB = BA, then A and B are called……………..

Q. | What is the Cartesian product of A = {1, 2} and B = {a, b}? |
---|---|

B. | , (2, a), (b, b)} b) {(1, 1), (2, 2), (a, a), (b, b)} |

C. | {(1, a), (2, a), (1, b), (2, b)} |

**What is the Cartesian product of three sets?**

Note: A × A × A = {(a, b, c) : a, b, c ∈ A}.

**What is Cartesian product of A ={ 1 2 and B A B?**

## What is the Cartesian product of a 1/2 and B A B *?

Q. | What is the Cartesian product of A = {1, 2} and B = {a, b}? |
---|---|

B. | , (2, a), (b, b)} b) {(1, 1), (2, 2), (a, a), (b, b)} |

C. | {(1, a), (2, a), (1, b), (2, b)} |

D. | {(1, 1), (a, a), (2, a), (1, b)} |

Answer» c. {(1, a), (2, a), (1, b), (2, b)} |

**What is the Cartesian product of a 1/2 and B A B?**

**What is the Cartesian Product of three sets?**

### What is the Cartesian Product of set A and set B if the set A ={ 1 2 and set B ={ a/b }?

Cartesian product of two sets A and B is the set of all those ordered pairs whose first coordinate is an element of A and the second coordinate is an element of B. It is denoted by A × B and is real as ‘ A cross B ‘.