Home
Class 12
MATHS
If A and B are two square matrices and i...

If A and B are two square matrices and if `A^(-1)` and `B^(-1)` exist, then `(AB)^(-1)` is equal to -

A

`A^(-1)B^(-1)`

B

`AB^(-1)`

C

`A^(-1)B`

D

`B^(-1)A^(-1) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then (A+I)^(5) is equal to (where I is idensity matric)

If A and B are two square matrices such that B=-A^(-1)B A ,t h e n(A+B)^2 is equal to a. A^2+B^2 b. O c. A^2+2A B+B^2 d. A+B

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

A and B are square matrices and A is non-singular matrix, then (A^(-1) BA)^n,n in I' ,is equal to (A) A^-nB^nA^n (B) A^nB^nA^-n (C) A^-1B^nA (D) A^-nBA^n

If A and B are two square matrices of the same order, then (A-B)^(2) is equal to -

A and B arer two matrices of order 3 × 3 which satisfy AB = A and BA =B then (A+B)^(7) is equal to___

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

If A, B are two square matrices such that AB = A and BA = B, then prove that B^(2) = B

A and B arer two matrices of order 3 × 3 which satisfy AB = A and BA = B. then (A+I)^(5) is equal to (where I is identify matrix)___

If A and B are symmetric matrices of the same order and X=AB+BA and Y=AB-BA , then (XY)^(T) is equal to

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. If a, b, c are all different and |(a,a^(3),a^(4)-1),(b,b^(3),b^(4)-1)...

    Text Solution

    |

  2. If p ne 0, then the solutions of the equation |(1,1,x),(p+1,p+1,p+x),...

    Text Solution

    |

  3. If A and B are two square matrices and if A^(-1) and B^(-1) exist, th...

    Text Solution

    |

  4. If A=[(3,-5),(-4,2)], then the value of A^(2)-5A is equal to -

    Text Solution

    |

  5. If A=|(5,6,-3),(-4,3,2),(-4,-7,3)| then the cofactors of the elements ...

    Text Solution

    |

  6. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

    Text Solution

    |

  7. If A=[(1,2),(2,3),(3,4)] and B=[(1,2),(2,1)], then -

    Text Solution

    |

  8. If A=[(2,-1),(0,1)] and B=[(1,0),(-1,-1)] then (A+B)^(2) is not equal ...

    Text Solution

    |

  9. If A be any n xx n matrix and k any scalar, then detkA is equal to -

    Text Solution

    |

  10. The probability that in a year of 22nd century chosen at rendom, ther...

    Text Solution

    |

  11. The probability that in a family of 5 members, exactly 2 members have...

    Text Solution

    |

  12. A bag contains 5 white and 3 black balls and 4 balls are successively ...

    Text Solution

    |

  13. The probability that A speaks truth is (4)/(5), while this probabili...

    Text Solution

    |

  14. Three distinct numbers are selected from first 100 natural numbers. Th...

    Text Solution

    |

  15. In a bolt factory three machines A, B and C manufacture respectively 2...

    Text Solution

    |

  16. If x gt 0, then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

    Text Solution

    |

  17. If theta=sin^(-1)[sin(-600^(@))], then one of the possible values of t...

    Text Solution

    |

  18. If vectors vecalpha,vecbeta, vecgamma are such that vecalpha+vecbeta+...

    Text Solution

    |

  19. If hati+hatj+hatk, 2hati +5hatj, 3 hati+2hatj-3hatk and hati-6hatj-h...

    Text Solution

    |

  20. In the equation x^2-px+q=0 ratio of the roots are 2:3 ,then prove that...

    Text Solution

    |