Home
Class 11
MATHS
If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0...

If `F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)]` and `G(x)=[(cosx,0,sinx),(0,1,0),(-sinx,0,cosx)]` then `[F(x)G(x)]^(-1)`=

A

`G(-x)F(-x)`

B

`{F(x)}^(-1){G(x)}^(-1)`

C

`[G(x)]{F(x)}`

D

`F(x).G(x)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- PRACTICE EXERCISE|13 Videos
  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - EXERCISE - I|24 Videos
  • MATRICES

    AAKASH SERIES|Exercise INVERSE OF A MATRIX- EXERCISE - I|21 Videos
  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x) F(y)=F(x+y) .

If A=[(cosx, sin x, 0),(-sin x, cosx, 0),(0,0,1)]=f(x) then A^(T)=

If f(x)=|(cosx, x,1),(2sinx,x^(2),2x),(tanx,x,1)| then Lt_(xto0)(f'(x))/x=

If f(x)=|(2cosx,1,0),(x-pi//2,2cosx,1),(0,1,2cosx)| then (df)/(dx) at x=(pi)/2 is

Lt_(x to 0)(cosx+sinx)^(1//x)=

If f(x)=|{:(2cos^(2)x,sin2x,-sinx),(sin2x,2sin^(2)x,cosx),(sinx,-cosx,0):}|" then "int_(0)^(pi//2)[f(x)+f'(x)]dx=

AAKASH SERIES-MATRICES -INVERSE OF A MATRIX- EXERCISE - II
  1. If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...

    Text Solution

    |

  2. If A=[(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),(0,0,1)] then ("Adj...

    Text Solution

    |

  3. If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] and G(x)=[(cosx,0,sinx)...

    Text Solution

    |

  4. If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] and "Adj A"=A=xA^(T) then x =

    Text Solution

    |

  5. If A is a square matrix such that A(AdjA)=((4,0,0),(0,4,0),(0,0,4)) th...

    Text Solution

    |

  6. Let A=[(-1,1,1),(1,-1,1),(1,1,-1)] then |"Adj (Adj A)"|=

    Text Solution

    |

  7. If A=[(0,1,-1),(2,1,3),(3,2,1)] then [A(adjA)A^(-1)]A=

    Text Solution

    |

  8. If A=[(1^(2),2^(2),3^(2)),(2^(2),3^(2),4^(2)),(3^(2),4^(2),5^(2))] the...

    Text Solution

    |

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

    Text Solution

    |

  10. If A is non - singular and A^(2)-5A+7I=0 then I =

    Text Solution

    |

  11. If A is non Singular and (A-2I)(A-4I)=0 then 1/6A+4/3A^(-1)=

    Text Solution

    |

  12. A square nonsingular matrix satisfies A^(2)-A+2I=0 then A^(-1)=

    Text Solution

    |

  13. If A!=A^(2)=I then |I+A|=

    Text Solution

    |

  14. If A is a 3xx3 matrix and B is its Adjoint matrix. If the determinent ...

    Text Solution

    |

  15. If A is 4xx4 matrix and |2A|=64,B="Adj A" then |"Adj B"|=

    Text Solution

    |

  16. If A!=I is an idempotent matrix, then A is a

    Text Solution

    |

  17. If A is an orthogonal matrix then |A| is

    Text Solution

    |

  18. If A and B are two square matrices such that B=-A^(-1)BA then (A+B)^(2...

    Text Solution

    |

  19. The value of a third order determinant is 11 then the value of the squ...

    Text Solution

    |

  20. A and B are square matrices of order 3xx3, A is on orthogonal matrix a...

    Text Solution

    |