Home
Class 12
MATHS
If {:A=[(-4,-1),(3,1)]:}, then the deter...

If `{:A=[(-4,-1),(3,1)]:}`, then the determint of the matrix `(A^2016-2A^2015-A^2014)`,is

A

`-175`

B

2014

C

2016

D

`-25`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 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 A=[[-4,-13]] ,then the determinant of the matrix (A^(2016)-2A^(2015)-A^(2014)) is (A) 2014(B)-175(C)2016(D)-25

If A = {:[(2,-3),(4,1)]:} , then adjoint of matrix A is

If A=[[6,112,4]] then the determinant of A^(2015)-6A^(2014) is

Find the adjoint of the matrix: [(2,-1),(4,3)]

Find the adjoint of the matrix: [(1,2),(3,4)]

In the matrix A= [(2,-1,3),(4,6,1) ] ,write the order of the matrix

Find the adjoint of the matrix A=[[2,3],[1,4]] .

Matrix A is given by A=[[6,11],[2,4]] then the determinant of A^(2015)-6A^(2014) is

Find the inverse of the matrix A=[[3,1],[4,2]]

Find the adjoint of matrix A=[[2,-3],[4,1]]

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
  1. If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) ...

    Text Solution

    |

  2. If P=[[sqrt(3)/2,1/2],[-1/2,sqrt(3)/2]], A=[[1,1],[0,1]] and Q=PAP^T, ...

    Text Solution

    |

  3. If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...

    Text Solution

    |

  4. Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...

    Text Solution

    |

  5. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |

  6. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

    Text Solution

    |

  7. The number of real values of lambda for which the system of linear equ...

    Text Solution

    |

  8. Let A be any 3xx3 invertible matrix. Thenwhich one of the following i...

    Text Solution

    |

  9. For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I3 where B' is t...

    Text Solution

    |

  10. If x =a, y=b, z=c is a solution of the system of linear equations x...

    Text Solution

    |

  11. If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...

    Text Solution

    |

  12. Let A be a matrix such that A* [(1 ,2) ,(0 ,3)] is a scalar matrix and...

    Text Solution

    |

  13. If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b...

    Text Solution

    |

  14. The number of values of k for which the system of linear equations, (k...

    Text Solution

    |

  15. The system of linear equations x+y+z =2, 2x+3y+2z =...

    Text Solution

    |

  16. If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the ma...

    Text Solution

    |

  17. A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"sin"t),(e^(t),-e^(-t)"cos"t-e^(...

    Text Solution

    |

  18. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  19. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  20. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |