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

If `A=[(costheta,-sintheta),(sintheta,costheta)],` then find the values of `theta` satisfying the equation `A^T+A=I_2`.

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If sintheta+costheta=1 , then the value of sin2theta is

If sintheta+ costheta=1 , then find the general value of theta .

Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

If costheta+sintheta=sqrt(2)costheta ,then find the value of (costheta-sintheta)/(sintheta) .

Prove: (costheta)/(1+sintheta)=(1-sintheta)/(costheta)

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If A and B are square matrices of order n , then prove that A \ a n d ...

    Text Solution

    |

  2. Show that positive odd integral powers of a skew-symmetric matrix are ...

    Text Solution

    |

  3. If A=[(costheta,-sintheta),(sintheta,costheta)], then find the values ...

    Text Solution

    |

  4. If A=d i ag(abc), show that A^n=d i ag(a^nb^nc^n) for all positive int...

    Text Solution

    |

  5. If A=[[costheta,isintheta],[isintheta,costheta]], then prove by princ...

    Text Solution

    |

  6. Let A=[[1,-1, 0],[ 2, 1, 3],[ 1, 2, 1]] a n d B=[[1 ,2, 3],[ 2, 1, 3],...

    Text Solution

    |

  7. If [[xy, 4],[z+6, x+y]]=[[8, w],[0, 6]], write the value of (x+y+z)dot

    Text Solution

    |

  8. If A=[a(i j)] is a skew-symmetric matrix, then write the value of sumi...

    Text Solution

    |

  9. Express the matrix [3-2-4 3-2-5-1 1 2] as the sum of a symmetric and s...

    Text Solution

    |

  10. Show that the elements on the main diagonal of a skew-symmetric matrix...

    Text Solution

    |

  11. If A is a skew-symmetric and n in N such that (A^n)^T=lambdaA^n , wri...

    Text Solution

    |

  12. If A is a skew-symmetric matrix and n is an odd natural number, write ...

    Text Solution

    |

  13. Show that the matrix B^TA B is symmetric or skew-symmetric according a...

    Text Solution

    |

  14. If A is a symmetric matrix and n in N , write whether A^n is symmetri...

    Text Solution

    |

  15. If S=[S(i j)] is a scalar matrix such that s(i i)= k and A is a square...

    Text Solution

    |

  16. If A is a square matrix, using mathematical induction prove that (A^T)...

    Text Solution

    |

  17. If A and B are square matrices of the same order such that A B=B A , t...

    Text Solution

    |

  18. There are 2 families A and B. There are 4 men, 6 women and 2 children ...

    Text Solution

    |

  19. If A={:[(-1),(2),(3)]:} and B=[-2" "-1" "-4] then verify that (AB)^(T)...

    Text Solution

    |

  20. If: [(xy,5x) , (z+6,y^2+1)]=[(8,w),(0,6)], then find the values of x ,...

    Text Solution

    |