Home
Class 12
MATHS
If (AB)^(-1)=[(12,-17),(-19,27)] "and"A^...

If `(AB)^(-1)=[(12,-17),(-19,27)] "and"A^(-1)=[(1,-1),(-2,3)] "then"" " B^(-1)`=

A

`[[2,-5],[-3,8]]`

B

`[[8,5],[3,2]]`

C

`[[3,1],[2,1]]`

D

`[[8,-5],[-3,2]]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (I. Choose the correct answer)|35 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.7|4 Videos

  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

Similar Questions

Explore conceptually related problems

If A=[(1, -1), (-1, 1)] and B=[(1, 1), (1, 1)] then AB=____.

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'

Let A =[(2,-1,1),(-1,2,-1),(1,-1,2)] "and" 4B=[(3,1,-1),(1,3,x),(-1,1,3)] . If B is the inverse of A, then the value of x is

If A = [{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (AB)^(-1)=B^(-1)A^(-1).

If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

Verify (AB)^(-1)= B^(-1) A^(-1) for A = [(2,1),(5,3)] and B= [(4,5),(3,4)] .

If A=[(1,-1),(2,1)], B=[(a,1),(b,-1)] and (A+B)^(2)=A^(2)+B^(2)+2AB , then

Verify that (AB)^(T) = B^(T) A^(T) if A= [(2,3,-1),(4,1,5)] and B= [(1,-2),(3,-3),(2,6)]

PREMIERS PUBLISHERS-APPLICATIONS OF MATRICES AND DETERMINANTS -SOLUTION TO EXERCISE 1.8
  1. If A = [(2,0),(1,5)]" and B"=[(1,4),(2,0)] then |adj(AB)|=

    Text Solution

    |

  2. If P = |(1,x,0),(1,3,0),(2,4,-2)| is the adjoint of 3xx3 matrix A and ...

    Text Solution

    |

  3. If A = [{:(3," "1,-1),(2,-2," "0),(1," "2,-1):}] "and"" "A^(-1)=[(a(11...

    Text Solution

    |

  4. If A, B and C are invertible matrices of some order, then which one of...

    Text Solution

    |

  5. If (AB)^(-1)=[(12,-17),(-19,27)] "and"A^(-1)=[(1,-1),(-2,3)] "then"" "...

    Text Solution

    |

  6. If A^(T).A^(-1) is symmetric, then A^(2)=

    Text Solution

    |

  7. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

    Text Solution

    |

  8. A = [((3)/(5),(4)/(5)),(x,(3)/(5))] "and" A^(T)=A^(-1), then the value...

    Text Solution

    |

  9. If A = [(1,tan""(theta)/(2)),(-tan""(theta)/(2),1)] and AB = I(2), the...

    Text Solution

    |

  10. If A=[[cos theta,sin theta],[-sin theta,cos theta]] and A(adj A)=[[k,0...

    Text Solution

    |

  11. If A=[(2,3),(5,-2)] be such that lambdaA^(-1) = A, then lambda is

    Text Solution

    |

  12. If adj A=[[2,3],[4,1]] and adj B=[[1,-2],[-3,1]] then adj (AB) is :

    Text Solution

    |

  13. The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is

    Text Solution

    |

  14. If x^(a)y^(b)=e^(m),x^(c)y^(d)=e^(n),Delta(1)=[(m,b),(n,d)]Delta(2)=[(...

    Text Solution

    |

  15. Which of the following is/are correct ? (i) Adjoint of a symmetric m...

    Text Solution

    |

  16. If rho (A) = rho ([A|B]), then the system AX = B of linear equations i...

    Text Solution

    |

  17. If 0lt= thetalt=pi and the system of equations x+(sintheta)y- (costhet...

    Text Solution

    |

  18. The augmented matrix of a system of linear equations is [(1,2,7,3),(0,...

    Text Solution

    |

  19. Let A =[(2,-1,1),(-1,2,-1),(1,-1,2)] "and" 4B=[(3,1,-1),(1,3,x),(-1,1,...

    Text Solution

    |

  20. If A = [(3,-3,4),(2,-3,4),(0,-1,1)], then adj (adj A) is

    Text Solution

    |