Home
Class 12
MATHS
If for a matrix A, absA=6and adj A={:[(1...

If for a matrix A, `absA=6and adj A=`{:[(1,-2,4),(4,1,1),(-1,k,0)]:}`, then k is equal to

A

0

B

1

C

2

D

-1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE /JEE Main Papers|71 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

If for a matrix A , absA=6 and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:} , then k is equal to

If |[3,-1],[1,k]|=0 then k is equal to?

If A=[{:(3,2),(1,4):}] , then what is A (adj A) equal to ?

Let A be a matrix such that adj (adj A)= [(5,2,1),(3,1,0),(2,2,1)] then the value of

If A=[{:(3,2),(1,4):}] then A. adj A is equal to :

If matrix A=[{:(3,2,4),(1,2,-1),(0,1,1):}]and A^(-1)=1/k adj A, then k is

If A=[(1,-3), (2,k)] and A^(2) - 4A + 10I = A , then k is equal to

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. B -Architecture Entrance Examination Papers
  1. Let A and B be 2xx2 matrices with real entries . Let I be the 2xx2 ind...

    Text Solution

    |

  2. Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible f...

    Text Solution

    |

  3. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  4. Let A=[(a,b),(c,d)]be a 2 xx 2 matrix, where a, b, c, d take value 0 t...

    Text Solution

    |

  5. Let S be the set of all real matrices A = [(a,b),(c,d)] such that a+d ...

    Text Solution

    |

  6. If S(n) denotes the sum of first n natural numbers.the [S(1)+S(2)x+S(3...

    Text Solution

    |

  7. Let A = [(1,1),(0,1)] and B = [(b(1),b(2)),(b(3),b(4))] . If 10 A^(10...

    Text Solution

    |

  8. If for a matrix A, absA=6and adj A={:[(1,-2,4),(4,1,1),(-1,k,0)]:}, th...

    Text Solution

    |

  9. Let S be the set of all real values of a for which the following syste...

    Text Solution

    |

  10. If A = ((2,52,152),(4,1-6,358),(6,162,620)) then the determinant of ad...

    Text Solution

    |

  11. Let S be the set of all real values of lambda for which the system of ...

    Text Solution

    |

  12. Ifthe equations a(y +z) =x,b(z+x) = y, c (x + y) = z have nontrivial...

    Text Solution

    |

  13. If B = [(-2,-2),(-1,0)] and A is a matrix such that A^(-1) B = B^(-1) ...

    Text Solution

    |

  14. Let [(3a,b,c),(b,3c,a),(c,a,3b)] be a 3xx3 matrix where a,b,c in R . I...

    Text Solution

    |

  15. The value of a for which the system linear of equations x+ay+z=1 a...

    Text Solution

    |

  16. Suppose A is a 2xx2 matrix for which A^(2)+A+I(2)=O(2) then det (adj (...

    Text Solution

    |

  17. If the system of linear equations : x+4y-3z=2 2x+7y+4z=alpha -x-...

    Text Solution

    |

  18. Let (a,b) be the solution of the system [(x,y)][(1,3),(5,1)]=[(2,1)]...

    Text Solution

    |

  19. If A^(20) = [(a,b),(c,d)] where A=[(1,1),(0,2)] then a+b+c+d is equal ...

    Text Solution

    |

  20. The number of solutions of the equations 3x-y-z=0 -3x+2y+z=0 -3x...

    Text Solution

    |