Home
Class 12
MATHS
If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)...

If `A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1`, then find inverse of A.

A

`[{:(a+jb, -c-id),(c-id, a-ib):}]`

B

`[{:(a-ib, c+id),(-cid, a-ib):}]`

C

`[{:(a-b, -c-id),(c-id, a+ib):}]`

D

`[{:(a+ib, c + id),(c-id, a-ib):}]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOCUS AND TRANSFORMATION OF AXES

    SIA PUBLICATION|Exercise Problems|11 Videos

  • MEASURES OF DISPERSION AND PROBABILITY

    SIA PUBLICATION|Exercise PROBLEMS|82 Videos

Similar Questions

Explore conceptually related problems

IF A=[{:(a+ib,c+id),(-c+id,a-ib):}] a^2+b^2+c^2+d^2=1 , then find the inverse of A.

If x -iy = sqrt([(a - ib)/(c-id)]) , then (x^(2) + y^(2))^(2) =

If x+iy = (a+ib)/(a-ib) , prove that x^(2) + y^(2)=1 .

If a,b,c,d,e are +ve real number such that a+b+ c+ d+e= 8 and a^(2) + b^(2) + c^(2) + d^(2) + e^(2) = 16 then the range of 'e' is

|(1,a,a^(2)),(1,b,b^(2)),(1,c,c^(2))|=

If (a+ib)^(2)=x+iy , find x^(2)+y^(2)

If (sqrt3 + i) = (a + ib) (c + id) then tan^(-1) (b)/(a) + tan^(-1) (d)/(c) =

If sqrt([(a-ib)/(c-ib)])" then "(x^2+y^2)^2=

Write ((a+ib)/(a-ib))^(2)-((a-ib)/(a+ib))^(2) in the fom of x+iy

Show that (a sin (B-C))/( b^(2) - c^(2)) - ( b sin (C-A))/( c^(2) - a^(2)) - ( c sin ( A- B))/( a^(2) -b^(2))

SIA PUBLICATION-MATRICES-PROBLEMS
  1. If A is square matric of order 3, then |Adj(AdjA^(2))|=

    Text Solution

    |

  2. The system 2x + 3y + z= 5, 3x + y + 5z =7, x + 4y -2z=3 has

    Text Solution

    |

  3. If A = [(a+ib,c+id),(-c+id,a-ib)], a^(2)+b^(2)+c^(2)+d^(2) =1, then fi...

    Text Solution

    |

  4. If the matrix A= |{:(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,alpha):}| is ...

    Text Solution

    |

  5. If k gt1, and the determinant of the matrix A^(2), where A=[(k,kalpha,...

    Text Solution

    |

  6. If I is the identity matrix of order 2 and A = [{:(1,1),(0,1):}], then...

    Text Solution

    |

  7. If A=[(-8,5),(2,4)] satisfies the equation f(x)=x^(2)+4x-p=0 then p=

    Text Solution

    |

  8. |(x+2,x+3,x+5),(x+4,x+6,x+9),(x+8,x+11,x+15)|=

    Text Solution

    |

  9. The system of equations 3x+2y+z=6,3x+4y+3z=14,6x+10y+8z=a has infinite...

    Text Solution

    |

  10. The number of real values of t such that the system of homogeneous equ...

    Text Solution

    |

  11. A=[(i,-i),(-i,i)],B=[(1,-1),(-1,1)]impliesA^(8)=

    Text Solution

    |

  12. f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),(x-1)x(x+1))|i...

    Text Solution

    |

  13. If A= [{:(-1, -2, -3),(4,4,3),(4,5,6):}], find its rank

    Text Solution

    |

  14. Given that, a alpha^(2) + c ne 0 and that the system of equations (a...

    Text Solution

    |

  15. A(alpha, beta)=((cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),...

    Text Solution

    |

  16. If A is a matrix such that ((2,1),(3,2))A((1,1))=((1,1),(0,0)) then A=

    Text Solution

    |

  17. A=[{:(1,1,1),(0,0,0),(1,1,0):}]impliesA^(2) -2A=

    Text Solution

    |

  18. |(24,25,26),(25,26,27),(26,27,27)|=

    Text Solution

    |

  19. f(x)=|(2 cosx, 1, 0),(x-(pi)/2, 2 cos x, 1),(0, 1, 2cosx)|impliesf'(pi...

    Text Solution

    |

  20. |(x,x^(2),1+x^(3)),(y,y^(2),1+y^(3)),(z,z^(2),1+z^(2))|=0,x!=y!=zimpli...

    Text Solution

    |