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

Select the correct option from the given alternatives.If `A = [[2,3],[4,6]]`, then `A^-1` = i] `[[1,2],[-4,6]]` ii] `[[2,-3],[4,6]]` iii] `[[-2,4],[-3,6]]` iv] Does not exist

A

`[[1,2],[-frac{3}{2},3}`

B

`[[2,-3],[4,6]]`

C

`[[-2,4],[-3,6]]`

D

Does not exist

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 option from the given alternatives. If A = [[1,-2],[5,-3]] then A+A^T equals i] [[2,3],[3,-6]] ii] [[2,-4],[10,6]] iii] [[2,4],[-10,6]] iv] [[1,0],[0,1]]

Select the correct option from the given alternatives. If A = [[1,2],[3,-5]] , then adj A is i] [[-5,-2],[-3,1]] ii] [[3,-5],[1,2]] iii] [[2,3],[-5,1]] iv] [[-5,3],[2,1]]

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

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

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 = [[0,1],[1,0]] the adjoint of the matrix A is i] [[0,-1],[-1,0]] ii] [[1,4],[-3,2]] iii] [[1,3],[4,-2]] iv] [[-1,-3],[-4,2]]

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 options from the given alternatives: If [[5,7],[x,1],[2,6]]-[[1,2],[-3,5],[2,y]]=[[4,5],[4,-4],[0,4]] then

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

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

    |