Home
Class 12
MATHS
If A=[(costheta,-sintheta),(sintheta,cos...

If `A=[(costheta,-sintheta),(sintheta,costheta)] " then " A^(-1)` =?

A

A

B

`-A`

C

adjA

D

`=-adjA`

Text Solution

Verified by Experts

The correct Answer is:
C
`|A|=1 rArr A^(-1) =1/|A| adjA=(adjA)`
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise EXERCISE 8A (VALUE BASED QUESTIONS)|4 Videos

  • STRAIGHT LINE IN SPACE

    RS AGGARWAL|Exercise Objective Questions|19 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

Similar Questions

Explore conceptually related problems

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

If A=[[costheta, sintheta], [-sintheta, costheta]] , then |A^(-1)|=

If {:A=[(costheta,-sintheta),(sintheta,costheta)]:},"then" A^T+A=I_2 , if

If {:A=[(costheta,sintheta),(-sintheta,costheta)]:}, " then "lim_(ntooo) 1/nA^n is

If A=[(costheta,-sintheta,0),(sintheta,costheta,0),(0,0,1)] , then adj A equals to

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

Let A={:[(costheta,-sintheta),(-sintheta,-costheta)]:} then inverse of A is

If A={:[(costheta,-sintheta),(-sintheta,costheta)]:}, and AB=BA=I" then "B=

RS AGGARWAL-SYSTEM OF LINEAR EQUATIONS-Objective Questions
  1. If A is square matrix such that |A| ne 0 and A^2-A+2I=O " then " A^(-1...

    Text Solution

    |

  2. If A=[(1,lambda,2),(1,2,5),(2,1,1)] is not invertible then lambda=?

    Text Solution

    |

  3. If A=[(costheta,-sintheta),(sintheta,costheta)] " then " A^(-1) =?

    Text Solution

    |

  4. If A=[(ab,b^2),(-a^2,-ab)] then matrix A is (A) scalar (B) involuntary...

    Text Solution

    |

  5. If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix ...

    Text Solution

    |

  6. If A is singular then A(adjA)=?

    Text Solution

    |

  7. if for any 2*2 square matrix A , A(adjA)=[[8 , 0] , [0 , 8]] then writ...

    Text Solution

    |

  8. If A=[(-2,3),(1,1)] then |A^(-1)|=?

    Text Solution

    |

  9. If A=[{:(3,1),(7,5):}], find x and y such that A^(2)+xI=yA.

    Text Solution

    |

  10. If matrices A and B anticommute then

    Text Solution

    |

  11. If A=[{:(2,5,),(1,3,):}] , find adj A.

    Text Solution

    |

  12. If A=[(3,-4),(-1,2)] and B is a square matrix of order 2 such that AB=...

    Text Solution

    |

  13. If A; B are invertible matrices of the same order; then show that (AB)...

    Text Solution

    |

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

    Text Solution

    |

  15. If |A|=3 and A^(-1)=[(3,-1),((-5)/3,2/3)] then adjA=?

    Text Solution

    |

  16. If A is an invertible matrix and A^(-1)=[(3,5),(5,6)] then A=?

    Text Solution

    |

  17. If A=[(1,4),(4,-3) and f(x) =2x^2-4x+5 then f(A) =?

    Text Solution

    |

  18. If A=[(1,2),(4,3)] then A^2-4A=?

    Text Solution

    |

  19. If A is 2-rowed square matrix and |A|=6 then A,adjA=?

    Text Solution

    |

  20. If A is 3 xx 3 invertible matrix, then show that for any scalar k (non...

    Text Solution

    |