Home
Class 12
MATHS
A is a 3 xx 3 matrix and B is its adjoin...

A is a 3 xx 3 matrix and B is its adjoint matrix. If `|B|=81`, then `|A|=`

A

`pm 3`

B

`pm 4`

C

`pm 9`

D

`pm 7`

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

Let A be a matrix of order 3 xx 3 , and B is its adjoint matrix. If B =81 , then A =

If A is a 3x3 matrix and B is its adjoint matrix the determinant of B is 64 then determinant of A is

If the matrix A B is a zero matrix, then

If B is an idempotent matrix, and A=I-B , then

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

If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) are both defined, then B is of the type

Let A be an nth-order square matrix and B be its adjoint, then |A B+K I_n| is (where K is a scalar quantity)

If A is 3xx4 matrix and B is a matrix such that A'B and BA' are both defined, then B is of the type

If A= B+C such that B is a symmetric matrix and C is a skew - symmetric matrix , then B is given by :

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

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The element in the first row and third column of the inverse of the ma...

    Text Solution

    |

  2. A^2-A+I=0, then the inverse of A is

    Text Solution

    |

  3. A is a 3 xx 3 matrix and B is its adjoint matrix. If |B|=81, then |A|=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |