Home
Class 12
MATHS
Inverse of the matrix [[cos 2 theta,-sin...

Inverse of the matrix `[[cos 2 theta,-sin 2 theta],[sin 2 theta , cos 2 theta]]` is

A

`[[cos 2 theta , -sin 2 theta], [ sin 2 theta , cos 2 theta]]`

B

`[[cos 2 theta , sin 2 theta], [ sin 2 theta , -cos 2 theta]]`

C

`[[cos 2 theta , sin 2 theta], [ sin 2 theta , cos 2 theta]]`

D

`[[cos 2 theta , sin 2 theta], [-sin 2 theta , cos 2 theta]]`

Text Solution

Verified by Experts

The correct Answer is:
D
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

The multiplicative inverse of : A = [(cos theta , -sin theta ),(sin theta , cos theta )] is :

If the matrix [[cos theta,sin theta,0],[sin theta,cos theta,0],[0,0,1]] is singular then theta=

Write the inverse of the matrix {:|(cos theta,sin theta),(-sin theta,cos theta)| .

|[4 sin ^2 theta, cos 2 theta],[ -cos 2 theta,cos ^2 theta]| =

(sin 2 theta)/(1-cos 2 theta)=cot theta

(1+cos 2 theta)/(sin 2 theta)=cot theta

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A and B are square matrices of the same order, then show that (AB)^...

    Text Solution

    |

  2. The inverse of the matrix [[1 , -2],[3 ,4 ]] is

    Text Solution

    |

  3. Inverse of the matrix [[cos 2 theta,-sin 2 theta],[sin 2 theta , cos 2...

    Text Solution

    |

  4. If A=[[1 ,-1] , [-1 , 1]], then A^(2)=

    Text Solution

    |

  5. If A=[[3 ,1] , [-1 , 2]] then A^(2)=

    Text Solution

    |

  6. If A(theta) = [(cos theta ,sin theta ),(-sin theta ,cos theta )] then...

    Text Solution

    |

  7. If A= [[1,1,1],[1,1,1],[1 ,1,1]] then A^(2)=

    Text Solution

    |

  8. If A = [[ 2 ,-1] , [ 0 , 1 ]] and B=[[-3],[4]] then A B=

    Text Solution

    |

  9. If [[x+y] , [x-y]]=[[2,1] , [4,3]] [[1],[-2]] then (x,y)

    Text Solution

    |

  10. If A=[[sin theta , cos theta],[-cos theta , -sin theta]] then A^(2)=

    Text Solution

    |

  11. If the order of the matrix A=4xx 3, the order of B=4xx 5 and the order...

    Text Solution

    |

  12. [[x-y, 8], [ x+y, 9]] =[[2,8],[4,9]], then (x, y)

    Text Solution

    |

  13. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  14. If A=[[2,3 ],[4,1]], B=[[1,2],[3,1]], then 2 A-3 B is

    Text Solution

    |

  15. If [[x,1],[-1,-y]]+[[y,1],[3,x]]=[[1,2],[2,1]] , then (x,y) =

    Text Solution

    |

  16. If A and B are two square matrices of same order then (A B)^(prime)=

    Text Solution

    |

  17. If A=[(3,5),(2,0)] and B = [(1,17),(0,-10)] then |AB| is equal to

    Text Solution

    |

  18. The matrix [[0, 5,-7], [-5,0,11],[7,-11,0]] is known as

    Text Solution

    |

  19. If in a square matrix A=(a(i j)) we have a(ji)=a(i j) for all i, j the...

    Text Solution

    |

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

    Text Solution

    |