Home
Class 12
MATHS
If A and B are two n-rowed square matric...

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

A

`A=I`

B

`A=0`

C

`Ane0`

D

`A=nI`

Text Solution

Verified by Experts

The correct Answer is:
B
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 two square matrices such that AB=A and BA=B , then A^(2) equals

If A and B are non-singular matrices, then

If A and B are two non-singular square matrices such that AB=A. then which one of the following is correct ?

If A and B are two non-singular square matrices such that AB = A, then which one of the following is correct ?

If A and B are non-zero square matrices of same order such that AB=A and BA=B then prove that A^(2)=A and B^(2)=B

If A and B are square matrices of the same order and A is non-singular,then for a positive integer n,(A^(-1)BA)^(n) is equal to A^(-n)B^(n)A^(n) b.A^(n)B^(n)A^(-n) c.A^(-1)B^(n)A d.n(A^(-1)BA)

If A and B are two matrices such that A+B =AB , then

If A and B are non zero square matrices of order 3, then

If A and B are two non-singular matrices such that AB=C, then |B| is equal to (|C|)/(|A|) b.(|A|)/(|C|) c.|C| d.none of these

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A is a square matrix such that A^(2)=A, then (I-A)^(2)+A=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  10. If M=[[1, 1, 1], [1, 1, 1], [1, 1, 1]], then M^(50)=

    Text Solution

    |

  11. If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]], then A^(10)=

    Text Solution

    |

  12. If A is a square matrix, then A+A^(T) is

    Text Solution

    |

  13. For any square matrix A,A A^(T) is a

    Text Solution

    |

  14. Let A be a square matrix. Then which of the following is not a symmetr...

    Text Solution

    |

  15. If A is a square matrix, A' its transpose, then (1)/(2)(A-A') is …. Ma...

    Text Solution

    |

  16. If A and B are symmetric matrices of same order, then which one of the...

    Text Solution

    |

  17. If A is a square matrix of order n and |A|=D, |adjA|=D', then

    Text Solution

    |

  18. If adjB=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1)) is P Q b. Q A P c. P...

    Text Solution

    |

  19. Let A, B and C be ntimesn matrices, which one of the following is a co...

    Text Solution

    |

  20. If A=[[0, 1, -2], [-1, 0, 5], [2, -5, 0]], then

    Text Solution

    |