Home
Class 12
MATHS
For a 3xx 3 matrix A, if det A=3, then d...

For a `3xx 3` matrix A, if `det A=3`, then `det (adj A)=`

A

-3

B

3

C

9

D

27

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

For 3xx3 matrix A , if |A | = 4 , then |adj A | equals :

For a 3xx 3 matrix A, if A .(adj A)=[[3,0,0],[0,3,0[,[0,0,3]] then |A|=

If each element of a 3xx3 matrix A is multiplied by 3 , then the determinant of the newly formed matrix is :

If A (adj . A ) = 81 , for a 3xx3 matrix A , then det . A is equal to :

Let A be a 3 xx 3 diagonal matrix which commutes with ever 3xx3 matrix. If det (A) = 8 , then tr A is

If A is a square matrix of order 3 and |A|=8 , then |adj A| =

If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6 , then the eigen values of adj A are

If A is a 3xx3 nonsingular matrix and if |A|=3 , then |(2A)^(-1)|=

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81, then |A|=

    Text Solution

    |

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

    Text Solution

    |

  3. For a 3xx 3 matrix A, if det A=3, then det (adj A)=

    Text Solution

    |

  4. If (1 x 2)[[1,2,3],[0,1,5],[0,2,3]] [[x],[-1],[2]]=0 then x=

    Text Solution

    |

  5. If A and B are two matrices such that A B=B and B A=A, then A^2+B^2=

    Text Solution

    |

  6. If A=[[3,-4],[1,-1]] then the value of A^n=

    Text Solution

    |

  7. If A is a square matrix of order n, then det (adj A)=

    Text Solution

    |

  8. For any 2xx 2 matrix A, if A . adj A = [[7,0],[0,7]] then |A| is equal...

    Text Solution

    |

  9. If A=[[1,-1,2],[2,1,-1],[-1,2,1]], then det [adj .(adj A)]=

    Text Solution

    |

  10. If A = [[1,0,0],[0,1,0],[0,0,1]], then A^2+2 A=

    Text Solution

    |

  11. If A = [[0,c,-b],[-c,0,a],[b,-a,0]] and B = [[a^(2),ab,ac],[ab,b^2,bc]...

    Text Solution

    |

  12. If the matrix A B is a zero matrix, then

    Text Solution

    |

  13. If A B=A and B A=B, then B^2=

    Text Solution

    |

  14. If A = [(1,1),(1,1)] and n in N , then A^(n) equals :

    Text Solution

    |

  15. If A= [[i,0],[0,i]], n in N, then A^(4 n) =

    Text Solution

    |

  16. If A be a square matrix of order 3. If |A|=-2 then the value of the de...

    Text Solution

    |

  17. If A = [[0,-i,1],[0,2,-3],[2,1,0]] and B=adj A, C=5A, then |ad j B|/|...

    Text Solution

    |

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

    Text Solution

    |

  19. The inverse of a symmetric matrix is

    Text Solution

    |

  20. Let X = [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[...

    Text Solution

    |