Home
Class 12
MATHS
If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], ...

If `A=[[a, 0, 0], [0, a, 0], [0, 0, a]]`, then `|A||adjA|=`

A

`a^(3)`

B

`a^(6)`

C

`a^(9)`

D

`a^(27)`

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=[[a, 0, 0], [0, a, 0], [0, 0, a]] , then |adjA|=

If A=[[3, 0, 0], [0, 3, 0], [0, 0, 3]] , then |A||adjA|=

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

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

If A=[[a,0,0] , [0,a,0] , [0,0,a]] then |adj A|=

If A=[[0, 1, 0], [1, 0, 0], [0, 0, 1]] , then A^(-1)=

If A=[[1, -2, 2], [0, 2, -3], [3, -2, 4]] , then A(adjA)=

If A=[[1, -1, 2], [3, 0, -2], [1, 0, 3]] , then (adjA)A=

If A=[[1, -1, 2], [-2, 3, 5], [-2, 0, -1]] , then adjA=

If A=[[2, 0, -1], [3, 1, 2], [-1, 1, 2]] , then adjA=

NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
  1. If A is a square matrix of order 3 such that A^(-1) exists, then |adjA...

    Text Solution

    |

  2. If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], then |adjA|=

    Text Solution

    |

  3. If A=[[a, 0, 0], [0, a, 0], [0, 0, a]], then |A||adjA|=

    Text Solution

    |

  4. If A=[[3, 0, 0], [0, 3, 0], [0, 0, 3]], then |A||adjA|=

    Text Solution

    |

  5. If A is a square matrix of order 3 and |A|=-2, then the value of the d...

    Text Solution

    |

  6. If A=[[0, 1, -1], [2, 1, 3], [3, 2, 1]], then (A(adjA)A^(-1))A=

    Text Solution

    |

  7. If for the matrix A, A^(3)=I, then A^(-1)=

    Text Solution

    |

  8. If for the matrix A, A^(5)=I, then A^(-1)=

    Text Solution

    |

  9. If A and B are square matrices of the same order and AB=3I, then A^(-1...

    Text Solution

    |

  10. If A^(2)-A+I=0, then A^(-1)=

    Text Solution

    |

  11. If A is a square matrix satisfying the equation A^(2)-4A-5I=0, then A^...

    Text Solution

    |

  12. If A=[[3, 1], [-1, 2]] and A^(2)-5A+7I=0, then I=

    Text Solution

    |

  13. If A is non-singular and (A-2I)(A-4I)=0, then (1)/(6)(A)+(4)/(3)(A^(-1...

    Text Solution

    |

  14. If a matrix A is such that 3A^(3)+2A^(2)+5A+I=0, then its inverse is

    Text Solution

    |

  15. If A is a non-singular matrix, such that I+A+A^(2)+… +A^(n)=0, then A^...

    Text Solution

    |

  16. If A is an 3x3 non-singular matrix such that AA^(prime)-A^(prime)A a n...

    Text Solution

    |

  17. If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(...

    Text Solution

    |

  18. If A and B are square matrices of the same order such that (A+B)(A-B)=...

    Text Solution

    |

  19. For a square matrix A and a non-singular matrix B, of the same order, ...

    Text Solution

    |

  20. If A=[[0, 3], [2, 0]] and A^(-1)=lambda(adjA), then lambda=

    Text Solution

    |