Home
Class 11
MATHS
If A = { - 1, 1}, find A xx A xx A....

If A = { - 1, 1}, find `A xx A xx A`.

Text Solution

Verified by Experts

`A xx A=(-1,--1),(-1,1),(1,-1),(1,1)`
`A xx A xx A=(-1,-1,-1),(-1,-1,1),(-I, 1,-1),(-1,1,1),(1,-1,-1),(1,-1,1),(1,1,1),(1,1,-1)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|89 Videos

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

Similar Questions

Explore conceptually related problems

If A={3,4,6} , B={1,3} and C={1,2,6} , then find (i) A xx(B nn C) (ii) B xx(A uu C) (iii) (A-B) xx(A-C)

If A = {1,2,3}, B = {3,4} and Prove that A xx B not= B xx A

Let A and B are two sets such that n (A) = 3 and n (B) = 2. If (x,1), (y,2),(z,1) are in A xx B , find A and B, where x,y and z are distinct elements.

If A = {1,2,3}, B = {3,4} and C={4,5,6} Prove that A xx (B cup C) = (A xx B) cup (A xx C)

If A = {1,2,3}, B = {3,4} and C={4,5,6}, Prove that A xx (B cap C) =(A xx B) cap (A xx C)

If A,B and C are n xx n matrix and det (A) = 2, det (B)= 3, and det (C ) = 5, then find the value of the det (A^(2) BC^(-1)) .

Find the sum to n terms of the series . 1 xx 2 xx 3+2 xx 3 xx 4+3 xx 4 xx 5+. . .

If A={1,4,9} and B={2,4,6}. Find (AnnB)xx(AuuB)

Find the sum to n terms of the series 1 xx 2+2 xx 3+3 xx 4+4 xx 5 dot+

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
  1. If G = {7,8} and H ={5,4,2}, find Gxx H and H xx G

    Text Solution

    |

  2. State whether each of the following statetments is true or false. If t...

    Text Solution

    |

  3. If A = { - 1, 1}, find A xx A xx A.

    Text Solution

    |

  4. If A xx B={(a,x), (a,y),(b,x),(b,y)} Find A and B

    Text Solution

    |

  5. Let A={1,2},B={1,2,3,4},C={5,6} and D={5,6,7,8}.Verify that Axx(Bn...

    Text Solution

    |

  6. Let A = {1,2} and B = {3,4}. Write A xx B. How many subsets will A xx...

    Text Solution

    |

  7. Let A and B are two sets such that n (A) = 3 and n (B) = 2. If (x,1),...

    Text Solution

    |

  8. The Cartesian product A xx A has 9 elements among which are found (-1,...

    Text Solution

    |

  9. Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(...

    Text Solution

    |

  10. A={1,2,3,……,14}. R is a relation from A to A defined by R={(x,y): 3x-y...

    Text Solution

    |

  11. A relation R on set natural numbers is defined by R={(x,y):y=x+5,x is ...

    Text Solution

    |

  12. A = {1,2,3,5} and B = {4,6,9}. Define a relation R from A to B by R =...

    Text Solution

    |

  13. Shows a relationship between the sets P and Q. write this relation ros...

    Text Solution

    |

  14. Let A={1,2,3,4,6}.Let R be the relation on A defined by R={(a,b):a,b...

    Text Solution

    |

  15. Determine the domain and range of the relation R defined by R={(x,...

    Text Solution

    |

  16. Write the relation R={(x,x^3): x is a prime number less than 10} in ...

    Text Solution

    |

  17. Let A = {x,y,z) and B = {1,2}. Find the number of relations from A to ...

    Text Solution

    |

  18. Let R be the relation on Z defined by R = { ( a,b): a,b in Z, a - b i...

    Text Solution

    |

  19. Let N be the set of natural numbers and the relation'R be defined on N...

    Text Solution

    |

  20. Examine each of the following relations given below and state in each ...

    Text Solution

    |