Home
Class 14
MATHS
If A and B are two invertible matrices o...

If A and B are two invertible matrices of the same order, then adj (AB) is equal to

A

(adj A) (adj B)

B

(adj A) +(adj B)

C

(adj A)-(adj B)

D

(adj B) (adj A)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos

  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos

  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

If A and B are invertible matrices of the same order, then (AB)^(-1) is equal to :

If A and B are invertible matrices of the same order, then (AB)' is equal to

If A and B are any two square matrices of the same order than ,

If A and B are non-singular square matrices of same order then adj(AB) is equal to

If A and B are two square matrices of the same order, then A+B=B+A.

If A and B are two matrices of the same order; then |AB|=|A||B|

If A and B are two invertible matrices of same order, the (AB)^-1 is (A) AB (B) BA (C) B^-1A^-1 (D) does not exist

If A and B are invertible matrices of the same order then (A) Adj(AB)=(adjB)(adjA) (B) (A+B)^-1=A^-1+B^-1 (C) (AB)^-1=B^-1A^-1 (D) none of these

If A and B are any two matrices of the same order, then (AB)=A'B'

If A and B are two invertible square matrices of same order, then what is (AB)^(-1) equal to ?

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If A and B are two invertible matrices of the same order, then adj (AB...

    Text Solution

    |

  2. If A=[{:(1,-1),(-1,1):}] then the expression A^(3)-2A^(2) is

    Text Solution

    |

  3. If A=[{:(1,2),(2,3),(3,4):}] and B=[{:(1,2),(2,1):}] then Which one ...

    Text Solution

    |

  4. If B=[{:(3,2,0),(2,4,0),(1,1,0):}] than what is adjoint of B equal to ...

    Text Solution

    |

  5. If A=[{:(0,1),(1,0):}] then the matrix A is

    Text Solution

    |

  6. Consider the following in respect of matrices A and B of same order: ...

    Text Solution

    |

  7. Let matrix B be the adjoint of a square matrix A.I be the identity mat...

    Text Solution

    |

  8. Consider the following in respect of matrices A,B and C of same order....

    Text Solution

    |

  9. The system of equation 2x+y-3z=5 3x-2y+2z=5 and 5x-3y-z=16

    Text Solution

    |

  10. What should be the value of x so that the matrix ({:(2,4),(-8,X):}) do...

    Text Solution

    |

  11. If A and B are two invertible square matrices of same order, then what...

    Text Solution

    |

  12. What is the adjoint of the matrix : ({:(cos (-theta),-sin (-theta)),...

    Text Solution

    |

  13. For a square matrix A. which of the following properties hold ? I. (...

    Text Solution

    |

  14. A square matrix A is called orthogonal if.

    Text Solution

    |

  15. If A=({:(1,2),(2,3):}) and A^(2) -KA-I(2)=O," where "I(2) is the 2xx2 ...

    Text Solution

    |

  16. If A is a 2xx3 matrix and AB is a 2xx5 matrix. Then B must be a

    Text Solution

    |

  17. What is the inverse of the matrix A=({:(cos theta, sin theta ,0),(- ...

    Text Solution

    |

  18. If A=[{:(4i-6,10i),(14i,6+4i):}] and K=(1)/(2i), where i= sqrt(-1). Th...

    Text Solution

    |

  19. If A is a square matrix, then the value of adj A^(T)-(adj A)^(T) is eq...

    Text Solution

    |

  20. If a,b,c are non-zero real numbers, then the inverse of the matrix A=[...

    Text Solution

    |

  21. The ad joint of the matrix A= [{:(1,0,2),(2,1,0),(0,3,1):}] is :

    Text Solution

    |