Home
Class 12
MATHS
If A=[{:(a, b), (c, d):}] " then " A^(-1...

If A`=[{:(a, b), (c, d):}] " then " A^(-1)` = ____.

A

`(1)/(ab-cd)[(b,-c),(-d,a)]`

B

`(1)/(ad-bc)[(b,-c),(-d,a)]`

C

`(1)/(ab-cd)[(b,d),(c,a)]`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    TARGET PUBLICATION|Exercise EVALUATION TEST|13 Videos
  • MATRICES

    TARGET PUBLICATION|Exercise CRITICAL THINKING (2.3 Application of matrices)|5 Videos
  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Binomial Distribution|1 Videos

Similar Questions

Explore conceptually related problems

If matrix A=[(a,b),(c,d)] , then |A|^(-1) is equal to

If A= [[a,b],[c,d]] is invertible,then A^(-1)

If P=(a,b,c,d) and Q=(1,2,3,4,5) then n(PxxQ) =________

If A^(20) = [(a,b),(c,d)] where A =[(1,1),(0,2)] then a+b+c+d is equal to

If ({:((1)/(2), -(3)/(5)),((4)/(6), -(1)/(7)):}) = ({:(-a, b), (c, -d):})({:(1, 0), (0, 1):}) then find a, b,c and d.

If A= [[a,b],[c,d]] and I= [[1,0],[0,1]] then A^(2)-(a+d)A=

If A = {a, b, c, d} and B = {1, 2, 3}, then which of the following is a relation from A to B?

If A={a,b,c,d) and B={1,2,3) , then which of the following is a relation from A to B?

If A=[[a,b],[c,d]] and I=[[1,0],[0,1]] then A^2-(a+d)A-(bc-ad)I=

TARGET PUBLICATION-MATRICES-COMPETITIVE THINKING (Inverse off a matrix )
  1. The inverse of matrix A=[[2, -3], [-4, 2]] is

    Text Solution

    |

  2. If U=[((1)/(sqrt2),(-1)/(sqrt2)),((1)/(sqrt2),(1)/(sqrt2))], then U^(-...

    Text Solution

    |

  3. If A=[{:(a, b), (c, d):}] " then " A^(-1) = .

    Text Solution

    |

  4. The invrse of the matrix [(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |

  5. If A=[((k)/(2),0,0),(0,(l)/(2),0),(0,0,(m)/(4))] and A^(-1)= [((1)/(2)...

    Text Solution

    |

  6. What is the inverse of A=[{:(0,0,1),(0,1,0),(1,0,0):}]?

    Text Solution

    |

  7. If A=[(1,-1,0),(1,0,0),(0,0,-1)], then A^(-1) is

    Text Solution

    |

  8. The inverse of the matrix [(1,0,0),(3,3,0),(5,2,-1)] is

    Text Solution

    |

  9. The inverse matrix of A=[(0,1,2),(1,2,3),(3,1,1)] is

    Text Solution

    |

  10. The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is (A) [(1,0,0),(-...

    Text Solution

    |

  11. If A=[(3,-3,4),(2,-3,4),(0,-1,1)], then A^(-1)=

    Text Solution

    |

  12. if A=[a(ij)](2*2) where a(ij)={i+j , i!=j and a(ij)=i^2-2j ,i=j then A...

    Text Solution

    |

  13. The element of second row and third column in the inverse of [[1, 2, 1...

    Text Solution

    |

  14. The element in the first row and third column of the inverse of the ma...

    Text Solution

    |

  15. If A=[(0,1,2),(1,2,3),(3,1,1)], then the sum of the all the diagonal e...

    Text Solution

    |

  16. If matrix A=[(1,2),(4,3)] such that Ax =I then x=

    Text Solution

    |

  17. The matrix A satisfying A[(1,5),(0,1)]=[(3,-1),(-1,4)] is

    Text Solution

    |

  18. If A={:[(3,2),(0,1)]:}" then:(A^(-1))^(3)=

    Text Solution

    |

  19. A=[{:(0,3),(2,0):}] and A^(-1)=lambda (adj, A) then lambda is equal to

    Text Solution

    |

  20. Let A=[1 0 0 0 1 1 0-2 4],I=[1 0 0 0 1 0 0 0 1]a n dA^(-1)=[1/6(A^2+c ...

    Text Solution

    |