Home
Class 12
MATHS
Let A be a matrix of order 3 xx 3, and B...

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

A

`pm 6`

B

`pm 3`

C

`9`

D

`4`

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 square matrix of order 3xx3 , then |5A| =

Let A be a square matrix of order 3xx3" then "|5A|=

If A is a square matrix of order 3 xx 3 , then |KA| is equal to

If A is a square matrix of order 3xx3 , then |KA| is equal to

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

If A is matrix of order m xx n and B is a matrix such that AB' and B'A are both defined, the order of the matrix B is

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

If A is any aquare matrix of order 3xx3 then |3A| is equal to

If A is a square matrix of order 3 and I is an ldentity matrix of order 3 such that A^(3) - 2A^(2) - A + 2I =0, then A is equal to

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. A and B are matrices of order three and |A| =4, |B| =-1 . Then the de...

    Text Solution

    |

  2. If A and P are 3xx3 matrices with integral entries such that P ' AP = ...

    Text Solution

    |

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

    Text Solution

    |

  4. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

    Text Solution

    |

  5. IF A is a 3 times 3 matrix, |A| ne 0 and |3A|=k|A|, then write the val...

    Text Solution

    |

  6. If alpha , beta and gammaare roots of the equations x^3+px+q=0 then th...

    Text Solution

    |

  7. Delta=|[x+a,b,c],[b,x+c, a],[c,a, x+b]| which of the following is a fa...

    Text Solution

    |

  8. The value of Delta= [[5^2 , 5^3 , 5^4],[ 5^3 , 5^4 , 5^5],[ 5^4 , 5^6 ...

    Text Solution

    |

  9. [[ 0 , p-q , p-r ],[q-p , 0 , q-r],[ r-p , r-q , 0 ]] =

    Text Solution

    |

  10. With the usual notation in the triangle A B C [[ 1 , 1 , 1 ],[ sin A...

    Text Solution

    |

  11. If A= [[-1 , 2 , 4 ],[ 3 , 1 , 0],[ -2 , 4 , 2 ]] and B= [[-2 , 4 ...

    Text Solution

    |

  12. If [[ a , b , c],[ m , n , p],[ x , y , z ]] =k, then [[ 6 a , 2 b ,...

    Text Solution

    |

  13. Delta= [[ 1 / a , 1 , b c ],[1 / b , 1 , c a ],[1 / c , 1 , a b]] =

    Text Solution

    |

  14. If [[ x , 2 , x],[x^2 , x , 6],[x , x , 6 ]] =a x^4+b x^3+c x^2+d x+e,...

    Text Solution

    |

  15. If omega is an imaginary cube root of unity then the value of [[1+ome...

    Text Solution

    |

  16. If alpha, beta, gamma are the roots of x^3+a x^2+b=0 then the value of...

    Text Solution

    |

  17. The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. u...

    Text Solution

    |

  18. The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is

    Text Solution

    |

  19. If [[ 2 x , 5],[ 8 , x ]] = [[6 , -2 ],[7 , 3 ]], then, x=

    Text Solution

    |

  20. The number of distinct real roots of [[sin x , cos x , cos x ],[cos x ...

    Text Solution

    |