Home
Class 12
MATHS
If A is a square matrix of order 3 and |...

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

A

8

B

`8^(2)`

C

`8^(3)`

D

`(1)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If A is square matrix of order 3 and |A|=4 ,then find |adj A|

If A is square matrix of order 3 and |A| = 5 then find |Adj A| .

A square matrix A, of order 3, has |A|=5, find |A.adj A|.

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

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

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

If A is a square matrix of order 3 such that abs(A)=2, then abs((adjA^(-1))^(-1)) is

If A,B are square matrices of order 3 , then :

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. |[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(...

    Text Solution

    |

  2. The value of [[a,b,c,d],[-a,b,c,d],[-a,-b,c,d],[-a,-b,-c ,d]] is

    Text Solution

    |

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

    Text Solution

    |

  4. The value of |(x+y,y+z,z+x),(x,y,z),(x-y,y-z,z-x)|=

    Text Solution

    |

  5. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

    Text Solution

    |

  6. If 3^n is a factor of the determinant [[1,1,1],[n C(1),(n+3) C(1) ,(n+...

    Text Solution

    |

  7. The determinant: |(xp+y,x,y),(yp+z,y,z),(0,xp+y,yp+z)|=0 if :

    Text Solution

    |

  8. If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,...

    Text Solution

    |

  9. If A=[[alpha , 0] ,[ 1 , 1]] and B=[[1 , 0] ,[ 5 , 1]] whenever A^(2)=...

    Text Solution

    |

  10. If A=[[a , b] ,[ b , a]] A^(2)=[[alpha , beta] ,[ beta , a]] then

    Text Solution

    |

  11. Let A = [(1,-1,1),(2,1,-3),(1,1,1)] and (10)B = [(4,2,2),(-5,0,alpha),...

    Text Solution

    |

  12. Let A=[[0, 0 ,-1],[0,-1,0],[-1,0,0]]. The only correct statement about...

    Text Solution

    |

  13. If A+B are square matrices of size nxxn such that A^(2) - B^(2) = (A-...

    Text Solution

    |

  14. Let A = ((1,2),(3,4)) and B = ((a,0),(0,b)), a b in N . Then :

    Text Solution

    |

  15. Let A= [[5,5 alpha, alpha],[0 ,alpha,5 alpha ],[0,0,5]] |A^(2)|=25, t...

    Text Solution

    |

  16. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  17. If [[2+x,3,4],[1,-1,2],[x,1,-5]] is singular matrix then x is

    Text Solution

    |

  18. For the matrix A=[[1,1,0],[1,2,1],[2,1,0]] which is correct?

    Text Solution

    |

  19. If A^(2) - A + I = O , then the inverse of A is :

    Text Solution

    |

  20. If P= [[i,0,-i],[0,-i,i],[-i,i,0]], Q= [[-i,i],[0,0],[i, -i]] then P Q...

    Text Solution

    |