Home
Class 12
MATHS
If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and...

If `A=[{:(1,-1,1),(0,2,-3),(2,1,0):}]` and `B=(adjA)` and `C=5A`, then find the value of `(|adjB|)/(|C |)`

Text Solution

Verified by Experts

The correct Answer is:
1
`(|adj(adjA)|)/(|5A|)=(|A|^((3-1)^(2)))/(5^(3)|A|)=(5^(4))/(5^(3).5)=1`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

A=[(a,1,0),(1,b,d),(1,b,c)] then find the value of |A|

If A=[{:(,a,0),(,0,2):}], B=[{:(,0,-b),(,1,0):}], M=[{:(,1,-1),(,1,1):}] and BA=M^2 , find the values of a and b.

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, then find the values of a,b and c,

If A=[{:(0,a,1),(-1,b,1),(-1,c,0):}] is a skew-symmetric matrix, then the value of (a+b+c)^(2) is

If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4)], then find (2A-3B+4C).

If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B and A-B

Given A=[{:(,2,-1),(,2,0):}], B=[{:(,-3,2),(,4,0):}] and C=[{:(,1,0),(,0,2):}] , Find the matrix X such that A+X=2B+C.

If [{:(,a,3),(,4,1):}]+[{:(,2,b),(,1,-2):}]-[{:(,1,1),(,-2,c):}] =[{:(,5,0),(,7,3):}] find the values of a,b and c.

If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}] , find a matrix C such that (A+B+C) is a zero matrix.

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. In DeltaABC, if AB=5cm, BC=13cm and CA=12cm, then the distance to vert...

    Text Solution

    |

  2. A relation R is defined on the set of circles such that "C(1)RC(2)impl...

    Text Solution

    |

  3. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

    Text Solution

    |

  4. If f(x) is a differentiable function satisfying f^(')(x)lt2 for all xe...

    Text Solution

    |

  5. If A(1,p^(2)),B(0,1) and C(p,0) are the coordinates of three points th...

    Text Solution

    |

  6. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  7. For certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4, f(x) has l...

    Text Solution

    |

  8. If alpha,betagamma are the roots of the equation x^3+px^2+qx+r=0, then...

    Text Solution

    |

  9. In the expansion of (x+y+z)^(20), which of the followign is False?

    Text Solution

    |

  10. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

    Text Solution

    |

  11. The function f(x)={ 1-2x+3x^2-4x^3; x!=-1, 1; x=-1} discuss the co...

    Text Solution

    |

  12. Investigate for the maxima and minima of the function f(x)=int1^x[2(t...

    Text Solution

    |

  13. int(-1)^(1) (e^(|x|))/(1+a^(x))dx

    Text Solution

    |

  14. int e^(sin^(-1)x)((log(e)x)/(sqrt(1-x^(2)))+(1)/(x))dx is equal to

    Text Solution

    |

  15. Value of lamda so that point (lamda,lamda^(2)) lies between the lines ...

    Text Solution

    |

  16. about to only mathematics

    Text Solution

    |

  17. The value of |(.^(10)C(4).^(10)C(5).^(11)C(m)),(.^(11)C(6).^(11)C(7).^...

    Text Solution

    |

  18. The number of all subsets of a set containing 2n+1 elements which cont...

    Text Solution

    |

  19. Let f(x) have a point of inflection at x=1 and let f^(")(x)=x. If f^('...

    Text Solution

    |

  20. Sixteen players S(1), S(2), S(3),…,S(16) play in a tournament. Number ...

    Text Solution

    |