Home
Class 12
MATHS
If X=[[1,1],[1,1]], then X^n, for n in N...

If `X=[[1,1],[1,1]]`, then `X^n`, for `n in N` is equal to

A

`2^(n-1) . X`

B

`n^2 X`

C

`n X`

D

`2^(n+1) . X`

Text Solution

Verified by Experts

The correct Answer is:
A
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= [[x,1], [0,x]] then A^n=

If {:X=[(3,-4),(1,-1)]:} , the value of X^n is equal to

If A = [(1,1),(1,1)] and n in N , then A^(n) equals :

if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[(1,n),(0,1)] is equal to the matrix [(1,378),(0,1)] the value of n is equal to

If A = [[1 ,1],[1,1]] and det (A^(n) - 1) = 1 -lambda ^(n), n in N, then the value of lambda is

int (dx)/(x(x^(n)+1)) is equal to :

If X={4^n -3n-1 , n in N} and Y={9(n-1), n in N} , where N is the set of natural numbers, then X uu Y is equal to :

If 0 lt x lt y , then lim_(n rarroo)(y^(n)+x^(n))^(1/n) is equal to

If sum_(i=1)^(2n) sin^(-1) x_i =npi , then sum_(i=1)^(2n) x_i is equal to :

If A^5=0 such that A^n != I for 1 <= n <= 4 , then (I - A)^-1 is equal to

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. Let X= [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[1]...

    Text Solution

    |

  2. Let X= [[x],[y],[z]], D= [[3],[5],[11]], A= [[1,-1,2],[2,1,1],[4,-1,-2...

    Text Solution

    |

  3. If X=[[1,1],[1,1]], then X^n, for n in N is equal to

    Text Solution

    |

  4. Let A and B be two square matrices such that A B=A and B A=B, then A^2...

    Text Solution

    |

  5. If A= [[cos x,sin x,0],[-sin x,cos x,0],[0,0,1]]=f(x) then A^-1=

    Text Solution

    |

  6. A nonsingular matrix A satisfies A^2-A+2 I=0, then A^-1=

    Text Solution

    |

  7. If [[x, y^3],[2,0]]=[[1,8],[2,0]] then [[x,y],[2,0]]^-1=

    Text Solution

    |

  8. If the matrix [[cos theta,sin theta,0],[sin theta,cos theta,0],[0,0,1]...

    Text Solution

    |

  9. If A=[[1,3],[2,1]], then determinant of A^2-2 A is

    Text Solution

    |

  10. If A and B are two matrices such that B=-A^-1 B A then (A+B)^2=

    Text Solution

    |

  11. If A= [[0,2],[3,-4]], k A= [[0,3a],[2b,24]] then the value of k, a, b ...

    Text Solution

    |

  12. If A and B are square matrices of order 3, A is nonsingular and A . B=...

    Text Solution

    |

  13. adj [[1,0,2],[-1,1,-2],[0,2,1]]= [[5,a,-2],[1,1,0],[-2,-2, b]] then (...

    Text Solution

    |

  14. A= [[-1, 0],[0,2]] then A^3-A^2=

    Text Solution

    |

  15. If A and B are square matrices of the same order, then

    Text Solution

    |

  16. If A= [[2,1,0],[0,2,1],[1, 0,2]] then |adj A|=

    Text Solution

    |

  17. If A and B are square matrices of the same order such that (A+B)(A-B)=...

    Text Solution

    |

  18. If A is a 3xx3 nonsingular matrix and if |A|=3, then |(2A)^(-1)|=

    Text Solution

    |

  19. If A=[(3,2),(1,1)] then A^(2)+xA+yI=0 for (x,y) =

    Text Solution

    |

  20. If [{:(1,2,-1),(1,x-2,1),(x,1,1):}] is singular ,then the value of x ...

    Text Solution

    |