Home
Class 12
MATHS
Select the correct option from the given...

Select the correct option from the given alternatives. If for the matrix A, `A^3 = I` then `A^-1 = ` i] `A^2` ii] `A^3` iii] `A` iv] `A^-1`

A

`A^2`

B

`A^3`

C

`A`

D

`A^-1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Matrices

    CHETANA PUBLICATION|Exercise EXERCISE|96 Videos

  • Mathematical Logic

    CHETANA PUBLICATION|Exercise EXERCISE|44 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Select the correct options from the given alternatives.Which of the following is correct

Select the correct option from the given alternatives.If A is a non-singular matrix such that A^2-A+1 = 0 , then A^-1 =

Select the correct option from the given alternatives.If for any 2xx2 matrix A, if A(adjA) = [[10,0],[0,10]] then abs(A) = i] 0 ii] 10 iii] 20 iv]100

Select the correct option from the given alternatives: If A = [[3,-3,4],[2,-3,4],[0,-1,1]] then A^-1 = i] A ii] A^2 iii] A^3 iv] A^4

CHETANA PUBLICATION-Matrices-EXERCISE
  1. Select the correct option from the given alternatives. If A = [[2,3],[...

    Text Solution

    |

  2. If A and B are square matrices of the same order and AB = 3I, then A^-...

    Text Solution

    |

  3. Select the correct option from the given alternatives. If for the mat...

    Text Solution

    |

  4. Select the correct option from the given alternatives:If A = [[i,0],[0...

    Text Solution

    |

  5. Select the correct option from the given alternatives. If A is an inve...

    Text Solution

    |

  6. Select the correct option from theg given alternativesIf A and B are n...

    Text Solution

    |

  7. If A = [[a,b],[c,d]] then adj(adjA) is equal to; i] adjA ii] A ii...

    Text Solution

    |

  8. Select the correct option from the given alternatives. Solutions of eq...

    Text Solution

    |

  9. Select the correct option from the given alternatives. The element in ...

    Text Solution

    |

  10. Select the correct option from the given alternatives.The sum of three...

    Text Solution

    |

  11. Select the correct option from the given alternatives.If A = [[2,3],[4...

    Text Solution

    |

  12. Select the correct option from the given alternatives: If [[1,-tanthet...

    Text Solution

    |

  13. Select the correct option from the given alternatives: If A = [[3,-3,4...

    Text Solution

    |

  14. Select the correct option from the given alternatives [[6,-5,1],[4,2,-...

    Text Solution

    |

  15. Select the correct option from the given alternatives. Let A = [[5,5al...

    Text Solution

    |

  16. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  17. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  18. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  19. Attempt the following: If A= [[1,0,0],[2,1,0],[3,3,1]] then reduce it ...

    Text Solution

    |

  20. [[-1,2],[-3,4]] Find the co-factors of the elements of the matrices.

    Text Solution

    |