Home
Class 12
MATHS
Let A=[(1,0),(1,1)] . Then which of th...

Let `A=[(1,0),(1,1)]` . Then which of the following is not true ?

A

`lim_(n to oo)1/n^2 A^(-n) =[(0,0),(-1,0)]`

B

`lim_(n to oo)1/nA^(-n)=[(0,0),(-1,0)]`

C

`A^(-n)=[(1,0),(-n,1)]AA n ne N`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|92 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

Which of the following is not true log(1+x)ltx for xgt0

Let A=[1 0 1 1] . Then which of following is not true? (lim)_(nvecoo)1/(n^2)A^(-n)=[0 0-1 0] b. (lim)_(nvecoo)1/n A^(-n)=[0 0-1 0] c. A^(-n)=[1 0-n1]AAn!=N d. none of these

which of the following is true for x in [0,1] ?

Let N = (10^143 -1)/9 Then which of the following is true?

If a_(0)=x,a_(n+1)=f(a_(n)), " where " n=0,1,2, …, then answer the following questions. If f(x)=(1)/(1-x), then which of the following is not true?

Let f (x) = {{:(min (x"," x ^(2)), x ge 0),( max (2x "," x-1), x lt 0):}, then which of the following is not true ?

If I_n=int_(-pi)^(pi) \ (sinnx)/((1+pi^x) \ sinx) \ dx, n=0,1,2,...... then which one of the following is not true ?

Let f(x)={((x-1)^2 sin(1/(x-1))-|x|,; x != 1), (-1,; x=1):} then which one of the following is true?

If I=int_(0)^(1//2) (1)/(sqrt(1-x^(2n)))dx then which one of the following is not true ?

If y+log(1+x)=0 which of the following is true?

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -LEVEL 2
  1. If A, B, and C are three square matrices of the same order, then AB=AC...

    Text Solution

    |

  2. Suppose a1, a, are real numbers, with a1!=0. If a1, a2,a3, are in A....

    Text Solution

    |

  3. Let A=[(1,0),(1,1)] . Then which of the following is not true ?

    Text Solution

    |

  4. If C is skew-symmetric matrix of order n and X isnxx1 column matrix, t...

    Text Solution

    |

  5. If S=[(0,1,1),(1,0,1),(1,1,0)]a n dA=[(b+c,c+a,b-c),(c-b,c+b, a-b),(b-...

    Text Solution

    |

  6. If A B=A and B A=B , then show that A^2=A , B^2=B .

    Text Solution

    |

  7. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

    Text Solution

    |

  8. Let A=a0 be a matrix of order 3, where a(i j)=x ; ifi=j ,x in R, 1 if...

    Text Solution

    |

  9. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

    Text Solution

    |

  10. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

    Text Solution

    |

  11. Let A=[a("ij")](3xx3) be a matrix such that A A^(T)=4I and a("ij")+2c(...

    Text Solution

    |

  12. Let A and B be two nonsingular square matrices, A^(T) and B^(T) are th...

    Text Solution

    |

  13. If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsi...

    Text Solution

    |

  14. If A^(-1)=[(sin^(2)alpha, 0, 0),(0, sin^(2)beta,0),(0, 0,sin^(2)gamma)...

    Text Solution

    |

  15. A is even ordered non singular symmetric matrix and B is even ordered ...

    Text Solution

    |

  16. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

    Text Solution

    |

  17. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. Suppose a, b, c, in R and abc = 1, if A = [[3a, b, c ],[b, 3c, a ],[c...

    Text Solution

    |

  20. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r eIi s...

    Text Solution

    |