Home
Class 11
MATHS
If A=[[costheta,sintheta],[-sintheta,cos...

`If A=[[costheta,sintheta],[-sintheta,costheta]],then Lim_(x_>oo)1/nA^n` is

A

a null matrix

B

an identity matrix

C

`{:[(0,1),(-1,0)]:}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Assertion Reason Type|12 Videos

  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

If A=[[costheta,-sintheta],[sintheta,costheta]] then show that A^n = [[cosntheta,-sinntheta],[sinntheta,cosntheta]]

If A=[[costheta,sintheta],[-sintheta,costheta]] , then for any natural number, find the value of D e t\ (A^n) .

If {:A=[(cos theta,sintheta),(-sintheta,costheta)]:}," then A.A' is

If cos theta-4sintheta=1, the sintheta+4costheta=

if A= [{:(costheta,sintheta),(-sintheta,costheta):}], then A A^T =?

if A=[(costheta,sintheta),(-sintheta,costheta)],then A^(2)=l is true for

If A=[(costheta,sintheta),(-sintheta,costheta)] , then find the value of |A| .

Let A=[{:(costheta,sintheta),(-sintheta,costheta):}] , then |2A| is equal to

Show that costheta [[costheta, sintheta],[-sintheta, cos theta]] + sin theta [[sintheta ,-cos theta],[costheta, sin theta]] =1

Statement 1: If A is an orthogonal matrix of order 2, then |A|=+-1. Statement 2: Every two-rowed real orthogonal matrix is of any one of the forms [[costheta ,-sintheta ],[sintheta ,costheta]]or[[costheta ,sintheta],[ sintheta,-costheta]]dot

OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
  1. If A is an orthogonal matrix, then

    Text Solution

    |

  2. Let A be a non-singular square matrix of order n. Then; |adjA| =

    Text Solution

    |

  3. Let A=[a(ij)](n xxn) be a square matrix and let c(ij) be cofactor of...

    Text Solution

    |

  4. If A is a non-singlular square matrix of order n, then the rank of A i...

    Text Solution

    |

  5. If A is a matrix such that there exists a square submatrix of order r ...

    Text Solution

    |

  6. Let A be a matrix of rank r. Then,

    Text Solution

    |

  7. Let A=[a(ij)](mxxn) be a matrix such that a(ij)=1 for all I,j. Then ,

    Text Solution

    |

  8. If A is a non-zero column matrix of order mxx1 and B is a non-zero row...

    Text Solution

    |

  9. The rank of the matrix {:[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,5)]:}, ...

    Text Solution

    |

  10. If A is an invertible matrix, then "det" (A -1) is equal to

    Text Solution

    |

  11. If A and B are two matrices such that rank of A = m and rank of B = n...

    Text Solution

    |

  12. If A=[3 4 2 4] , B=[-2-2 0-1] , then (A+B)^(-1) (a) is a skew-symmetr...

    Text Solution

    |

  13. Let A=[a0 0 0a0 0 0a] , then A^n is equal to [a^n0 0 0a^n0 0 0a] (b) [...

    Text Solution

    |

  14. If A=[[costheta,sintheta],[-sintheta,costheta]],then Lim(x>oo)1/nA^n i...

    Text Solution

    |

  15. If A=[[1, 2, x], [0 ,1 ,0],[ 0, 0, 1]] and B=[[1,-2,y],[0, 1, 0 ],[0...

    Text Solution

    |

  16. If A=[{:(,1,a),(,0,1):}] then find underset(n-oo)(lim)(1)/(n)A^(n)

    Text Solution

    |

  17. If the matrix {:[(a,b),(c,d)]:} is commutative with matrix {:[(1,1),(...

    Text Solution

    |

  18. If {:A=[(1,0),(k,1)]andB=[(0,0),(k,0)]:} such that A^100-I=lambdaB," ...

    Text Solution

    |

  19. If matrix A has 180 elements, then the number of possible orders of A ...

    Text Solution

    |

  20. A 3xx3 matrix A, with 1st row elements as 2,-1,-1 respectively, is mod...

    Text Solution

    |