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

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`

A

`A`

B

`A^2`

C

`A^3`

D

`A^4`

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 optons from the given alternatives:If A=[[-2,1],[0,3]] and f(x)=2x^2-3x ,then f(A)=

Select the correct options from the given alternatives.If |(6i,-3i,1),(4,3i,-1),(20,3,i)|=x+iy then

Select the correct optons from the given alternatives:If A+B=[[7,4],[8,9]] and A-B=[[1,2],[0,3]] then the value of A is

Select the correct option from the given alternatives.If A = [[lambda,1],[-1,-lambda]] then A^-1 does not exist if lambda = i]0 ii]± 1 iii]2 iv]3

Select the correct option from the given alternatives. If A = [[1,2],[3,4]] and A(adjA) = kI then the value of k is i]2 ii]− 2 iii]10 iv]− 10

Select the correct option from the given alternatives. The inverse of A if A = [[0,1,0],[1,0,0],[0,0,1]] is i]1 ii]A iii]A' iv]− 1

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

Select the correct option from the given alternatives. If A=[[2,-4],[3,1]] and A(adj A)=KI then the value of k is….. i] 1 ii] -1 iii] 0 iv] 14

Select the correct option from the given alternatives. If A = [[2,3],[5,-2]] be such that A^-1 = kA , then k equals to i] 19 ii] frac{1}{19} iii] -19 iv] -frac{1}{19}

CHETANA PUBLICATION-Matrices-EXERCISE
  1. Select the correct option from the given alternatives. The element in ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. [[-1,2],[-3,4]] Find the co-factors of the elements of the matrices.

    Text Solution

    |

  13. A = [[2,-3],[3,5]] Find the adjoint of the matrices.

    Text Solution

    |

  14. If A = [[x,0,0],[0,y,0],[0,0,z]], is a non-singular matrix then find A...

    Text Solution

    |

  15. Find A^-1 by elementary row transformations for A = [[1,2,3],[1,1,5],[...

    Text Solution

    |

  16. If A = [[1,0,1],[0,2,3],[1,2,1]] and B = [[1,2,3],[1,1,5],[2,4,7]], th...

    Text Solution

    |

  17. The cost of 2 books and 6 note books is Rs. 34 and the cost of 3 books...

    Text Solution

    |

  18. Solve the following equations by the method of reduction: x+3y+3z = 12...

    Text Solution

    |

  19. IfA=[[4,5],[2,1]], then show that A^-1 = frac{1}{6}(A-5I).

    Text Solution

    |

  20. Attempt the following: If A= [[2,3],[1,2]], B = [[1,0],[3,1]]. Find AB...

    Text Solution

    |