Home
Class 12
MATHS
If A is a singular matrix of order n, th...

If A is a singular matrix of order n, then `A(adjA)=`

A

`0`

B

`A`

C

`I`

D

`|A|I_n`

Text Solution

Verified by Experts

The correct Answer is:
A
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 singular matrix of order n, then (adjA) is

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

If A is a non-singular matrix of order 3, then |adjA^(3)|=

If A is a non singular matrix of order 3 then |adj(A)|= ……………

If A is a non-singular matrix of order 3, then adj(adj(A)) is equal to

If A is a unit matrix of order n, then A(adjA) is

If A is a non singular matrix of order 3 then |adj(adjA)| equals (A) |A|^4 (B) |A|^6 (C) |A|^3 (D) none of these

If A is a non-singular matrix of order 3, (adjA)+A^(-1)=0, then |A|=

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A and B are non-singular square matrices of same order then adj(AB)...

    Text Solution

    |

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

    Text Solution

    |

  3. If A is a singular matrix of order n, then A(adjA)=

    Text Solution

    |

  4. If A is a ntimesn matrix and |A|ne0, then adj(adjA)=

    Text Solution

    |

  5. If A is a singular matrix of order n, then (adjA) is

    Text Solution

    |

  6. If A is a square matrix, then adj(A')-(adjA)'=

    Text Solution

    |

  7. If A is a non-singular matrix of order 3, (adjA)+A^(-1)=0, then |A|=

    Text Solution

    |

  8. If A is a non-singular matrix of order 3, then |adjA^(3)|=

    Text Solution

    |

  9. If D is the determinant of a square matrix A of order n, then the dete...

    Text Solution

    |

  10. Which of the following is/are incorrect? (i).Adjoint of symmetric mat...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The inverse of a summetric matrix is

    Text Solution

    |

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

    Text Solution

    |

  17. The matrix having the same matrix as its inverse

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |