Home
Class 12
MATHS
If A= [(cos theta, sin theta),(-sin thet...

If A= `[(cos theta, sin theta),(-sin theta, cos theta)]` and A (adj A) = `[(k,0),(0,k)]` then k =

A

0

B

sin `theta`

C

cos `theta`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    NCERT TAMIL|Exercise EXERCISE 1.7|4 Videos

  • APPLICATIONS OF INTEGRATION

    NCERT TAMIL|Exercise EXERCISE 9.10|20 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    NCERT TAMIL|Exercise EXERCISE 6.10|25 Videos

Similar Questions

Explore conceptually related problems

If A = [{:(costheta, sin theta),(-sin theta, cos theta):}] and A(adj A) = [{:(k,0),(0,k):}] , then k=……………

If A=[{:(cos theta, sin theta),(-sin theta, cos theta):}] then "A A"^(T) is :

determinant |"cos theta sin theta -sin theta cos theta

((cos theta+isin theta)^4)/((sin theta+icos theta)^5)=?

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

If A={:((cos theta,-sin theta),(sin theta, cos theta)):} prove that "AA"^(T)=I .

If sec theta + tan theta = k, cos theta =

NCERT TAMIL-APPLICATIONS OF MATRICES AND DETERMINANTS-EXERCISE 1.8
  1. If A = [(2,0),(1,5)] and B = [(1,4),(2,0)] then |adj (AB)|=

    Text Solution

    |

  2. If P = [(1,x,0),(1,3,0),(2,4,-2)] is the adjoint of 3xx3 matrix A and ...

    Text Solution

    |

  3. If A = [(3,1,-1),(2,-2,0),(1,2-1)] and A^(-1) =[(a(1),a(12),a(13)),(a(...

    Text Solution

    |

  4. If AB , and C are invertible matrices of some order, then which one of...

    Text Solution

    |

  5. If (AB)^(-1) = [(12,-17),(-19,27)] and A^(-1) =[(1,-1),(-2,3)] then B^...

    Text Solution

    |

  6. If A^(T) A^(1) is symmetric then A^(2) =

    Text Solution

    |

  7. If A is a non-singular matrix such that A^(-1) =[(5,3),(-2,-1)] then ...

    Text Solution

    |

  8. If A = [((3)/(5),(4)/(5)),(x,(3)/(5))] and A^(T)=A^(-1) then the value...

    Text Solution

    |

  9. If A= [(1, tan""(theta)/(2)),(-tan ""(theta)/(2),1)] and AB =I(2) th...

    Text Solution

    |

  10. If A= [(cos theta, sin theta),(-sin theta, cos theta)] and A (adj A) =...

    Text Solution

    |

  11. If A = [(2,3) ,(5,-2)] be such that lambdaA^(-1) =A then lambda is

    Text Solution

    |

  12. If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

    Text Solution

    |

  13. The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is

    Text Solution

    |

  14. If x^(a)y^(b)=e^(m),x^(c ) y^(d)=e^(n), Delta(1)= |(m,b),(n,d)|,Delta(...

    Text Solution

    |

  15. Which of the following is/are correct? (i) Adjoint of a symmetric ma...

    Text Solution

    |

  16. If rho(A) = rho([A|B]) then the system AX =B of linear equations is

    Text Solution

    |

  17. If 0 lt= theta lt= pi and the system of equations x + (sin theta)y - (...

    Text Solution

    |

  18. The augmented matrix of a system of linear equations is [(1,2,7,3),(0,...

    Text Solution

    |

  19. Let A = [(2,-1,1),(-1,2,-1),(1,-1,2)] and 4B= [(3,1-1),(1,3,x),(-1,1,3...

    Text Solution

    |

  20. If A = [(3,-3,4),(2,-3,4),(0,-1,1)] then adj ( adj A) is

    Text Solution

    |