Home
Class 12
MATHS
If A=[[1,a],[0,1]], then lim (n to oo)(1...

If `A=[[1,a],[0,1]], then `lim _(n to oo)(1)/(n) A^n` is

A

`[[0,a],[0,0]]`

B

`[[0,0],[0,0]]`

C

`[[0,1],[0,0]]`

D

none of these

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

Lt_(n to oo)(1 + 2/n)^(2n) =

lim_(x rarr oo) (1+2/n)^(2n)=

If A= {:[(1,2),(0,1)]:} then A^(n) is

lim_(n to oo) sum_(r = 1)^(n) 1/n e^(r/n) is :

lim_(n rarr oo) (1-n^(2))/(sum n)=

lim _( n to 0) ( 1+ 2n )^( (1)/( n) )

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

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. The product of the eigen values of the matrix A= [[3,-1],[2,3]] is

    Text Solution

    |

  2. If 4,-3 are the eigen values of a 2xx 2 matrix A and |A|=6, then the e...

    Text Solution

    |

  3. If A=[[1,a],[0,1]], then lim (n to oo)(1)/(n) A^n is

    Text Solution

    |

  4. Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-...

    Text Solution

    |

  5. If A=[[-1,2,1],[1,-1,2],[2,1,1]], then det(a d j(adj A))=

    Text Solution

    |

  6. For a 3xx 3 matrix A, if A .(adj A)=[[3,0,0],[0,3,0[,[0,0,3]] then |A|...

    Text Solution

    |

  7. If A= [[4,x+2],[2x-3, x-1]] is symmetric then x=

    Text Solution

    |

  8. If A= [[2,0,0],[0,2,0],[0,0,2]] then A^6=

    Text Solution

    |

  9. Total number of possible symmetric matrices of order 3xx 3, whose entr...

    Text Solution

    |

  10. If A is matrix of order mxxn and B is a matrix such that AB' and B'A...

    Text Solution

    |

  11. If A and B are matrices of same order then(A B^prime-B A^prime) is

    Text Solution

    |

  12. If A is a square matrix such that A^(2) = I , then : (A-I)^(3) +(A+I)...

    Text Solution

    |

  13. On using elementary operation C(2) to C(2) - 2C(1) in the following ma...

    Text Solution

    |

  14. On using clementary row operation R1 to R1-3 R2 in the following matr...

    Text Solution

    |

  15. If matrix A = [a(ij)] (2xx2) where a(ij) {:(-1," if " i !=j ),(=0 , ...

    Text Solution

    |

  16. If A= [(0,1),(1,0)], then A^(2) equal to

    Text Solution

    |

  17. A and B are two matrices of the order 3xx m and 3xx n respectively, an...

    Text Solution

    |

  18. If A = (1)/(pi) [{:(sin^(-1)(pix),, tan^(-1)((x)/(pi))),(sin^(-1)((x)/...

    Text Solution

    |

  19. If [(2x+y,4x),(5x-7,4x)]= [ (7,7y-13),(y ,x+6)] , then the value o...

    Text Solution

    |

  20. Total number of possible symmetric matrices of order 3xx 3, whose entr...

    Text Solution

    |