Home
Class 12
MATHS
If A and B are non-singular matrices, th...

If A and B are non-singular matrices, then

A

`AB=BA`

B

`(AB)'=A'B'`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If A and B are non-singular matrices of the same order, write whether A B is singular or non-singular.

If A and B are non-singular matrices such that B^(-1)AB=A^(3), then B^(-3)AB^(3)=

If A and B are non-singular matrices of Q. 1 order 3times3 such that A=(adj B) and B=(adj A) then det(A)+det(B) is equal to

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=

If A and B are two non-singular matrices which commute, then (A(A+B)^(-1)B)^(-1)(AB)=

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

If A and B are non - singular matrices of order 3xx3 , such that A=(adjB) and B=(adjA) , then det (A)+det(B) is equal to (where det(M) represents the determinant of matrix M and adj M represents the adjoint matrix of matrix M)

If A and B are two non singular matrices and both are symmetric and commute each other, then

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. Which of the following is/are incorrect? (i).Adjoint of symmetric mat...

    Text Solution

    |

  2. The inverse of a matrix A=[[a, b], [c, d]] is

    Text Solution

    |

  3. If A and B are non-singular matrices, then

    Text Solution

    |

  4. If A, B, C are invertible matrices, then (ABC)^(-1)=

    Text Solution

    |

  5. If D=diag(d1,d2,d3,…,dn)" where "d ne 0" for all " I = 1,2,…,n," then ...

    Text Solution

    |

  6. The inverse of a summetric matrix is

    Text Solution

    |

  7. If I(3) is identity matrix of order 3, then I(3)^(-1)=

    Text Solution

    |

  8. The matrix having the same matrix as its inverse

    Text Solution

    |

  9. Let A be a square matrix all of whose entries are integers. Then which...

    Text Solution

    |

  10. If A=[[2, 0, 0], [0, 2, 0], [0, 0, 2]], then A^(5)=

    Text Solution

    |

  11. If A=[[2, 0, 0], [0, 2, 0], [0, 0, 2]], then A^(6)=

    Text Solution

    |

  12. If A and B are 3times3 matrices such that AB=A and BA=B, then

    Text Solution

    |

  13. If A is a square matrix such that A^(2)=A, then (I-A)^(2)+A=

    Text Solution

    |

  14. If A, B, c are three square matrices such that AB=AC implies B=C, then...

    Text Solution

    |

  15. If A and B are two n-rowed square matrices such that AB=O and B is non...

    Text Solution

    |

  16. The number of 3 3 non-singular matrices, with four entries as 1 and ...

    Text Solution

    |

  17. costheta[[costheta, sintheta], [-sintheta, costheta]]+sintheta[[sinthe...

    Text Solution

    |

  18. If [m,n][(m),(n)]=[25] and (m,n)

    Text Solution

    |

  19. If matrix A=[[1, -1], [1, 1]] then

    Text Solution

    |

  20. If A=[[4, -1], [-1, k]] such that A^(2)-6A+7I=0 and k=

    Text Solution

    |