Home
Class 12
MATHS
If A is a mtimesn matrix and B is a matr...

If A is a `mtimesn` matrix and B is a matrix such that both AB and BA are defined, then the order of B is

A

`mtimesm`

B

`ntimesn`

C

`mtimesn`

D

`ntimesm`

Text Solution

Verified by Experts

The correct Answer is:
D
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 is a 3xx3 matrix and B is a matrix such that A^TB and BA^(T) are both defined, then order of B is

If A is a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both define then order of B is :

If A is a 3xx4 matrix and B is matrix such that A^(T)B and BA^(T) are both define then order of B is :

If A is 2xx3 matrix and B is a matrix such that A^(T)B and BA^(T) both are defined,then what is the order of B?

If A is a matrix of order m xx n and B is a matrix such that AB^(T) and B^(T)A are both defined,then the order of matrix B is m xx n (b) n xx n( c) n xx m(d)m xx n

If A is any mxxn matrix such that AB and BA are both defined, then B is a matrix of order

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. Matrix A is of order mtimesn, matrix B is of order ptimesq such that A...

    Text Solution

    |

  2. If A and B are two matrices such that A+B and AB are both defined, the...

    Text Solution

    |

  3. If A is a mtimesn matrix and B is a matrix such that both AB and BA ar...

    Text Solution

    |

  4. Which one of the following is not true?

    Text Solution

    |

  5. Which is true about matrix multiplication?

    Text Solution

    |

  6. The matrix product AB=0, then

    Text Solution

    |

  7. Assuming that the sums and products given below are defined, which of ...

    Text Solution

    |

  8. If A, B are square matrices of order 3, A is non-singular and AB=0, th...

    Text Solution

    |

  9. If A andB are square matrices of order 2, then (A+B)^(2)=

    Text Solution

    |

  10. If A and B are square matrices of order ntimesn, then (A-B)^(2)=

    Text Solution

    |

  11. If A, B are two matrices and (A+B)(A-B)=A^(2)-B^(2), then

    Text Solution

    |

  12. Which of the following is incorrect?

    Text Solution

    |

  13. If A^(T), B^(T) are transpose of the square matrices A, B respectively...

    Text Solution

    |

  14. Which of the following relations is incorrect?

    Text Solution

    |

  15. Which one of the following statements is true?

    Text Solution

    |

  16. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

    Text Solution

    |

  17. If A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] and a(ij) denote the cofactor ...

    Text Solution

    |

  18. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

    Text Solution

    |

  19. If A and B are non-singular square matrices of same order then adj(AB)...

    Text Solution

    |

  20. If A is a non-singular matrix of order n, then A(adj A)=

    Text Solution

    |