Home
Class 12
MATHS
If A=[{:(sinalpha,-cosalpha,0),(cosalpha...

If `A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}]` then `A^(-1)` is equal to

A

`A^1`

B

`A`

C

adj A

D

`A^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - C|7 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - D|16 Videos

  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION A|33 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

If A=[(sinalpha,cosalpha),(-cosalpha,sinalpha)] , the prove that A'A=I .

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

If A=[[cosalpha, -sinalpha, 0], [sinalpha, cosalpha, 0], [0, 0, 1]] , then (adjA)^(-1)=

Inverse of the matrix {:[(cosalpha,-sinalpha,0),(sinalpha,cosalpha ,0),(0,0,1)]:} is

If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , show that A'A=I.

Let F(alpha)=[{:(cosalpha,-sinalpha,0),(sinalpha,cosalpha,0),(0,0,1):}] and G(beta)=[{:(cosbeta,0,sinbeta),(0,1,0),(-sinbeta,0,cosbeta):}] . Show that [F(alpha).G(beta)]^(-1)=G(-beta).F(-alpha) .

If A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] , then

If F(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] and G(beta)=[(cosbeta, 0, sinbeta),(0, 1, 0),(-sinbeta, 0, cosbeta)], then [F(alpha)G(beta)]^-1 is equal to (A) F(-alpha)G(-beta) (B) G(-beta)F(-alpha0 (C) F(alpha^-1)G(beta^-1) (D) G(beta^-1)F(alpha^-1)

costheta-sintheta=cosalpha-sinalpha

AAKASH INSTITUTE-DETERMINANTS -SECTION - B
  1. If A=[{:(11,7),(-13,17):}] then adj(adj A) is

    Text Solution

    |

  2. Find the value of k so that A^2=8A+kI where A=[(1,0),(-1,7)].

    Text Solution

    |

  3. If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A...

    Text Solution

    |

  4. If A is a matrix of order 3 and |A|=2, then A |adj A| is

    Text Solution

    |

  5. The value of the determinant |{:(""^5C0,""^5C3,14),(""^5C1,""^5C4,1),(...

    Text Solution

    |

  6. If Delta1=|{:(10,4,3),(17,7,4),(4,-5,7):}|,Delta2=|{:(4,x+5,3),(7,x+12...

    Text Solution

    |

  7. The value of |{:(x,x^2-yz,1),(y,y^2-zy,1),(z,z^2-xy,1):}| is

    Text Solution

    |

  8. The value of |(i^m,i^(m+1),i^(m+2)),(i^(m+5),i^(m+4),i^(m+3)),(i^(m+6...

    Text Solution

    |

  9. The value of the determinant |(-(2^5 + 1)^2,2^10 -1,1/(2^5-1)),(2^10...

    Text Solution

    |

  10. If the determinant |(cos2x,sin^2 x,cos 4x),(sin^2 x,cos 2x,cos^2 x),(...

    Text Solution

    |

  11. if alpha,beta,gamma are non-real numbers satisfying x^3-1=0, then the ...

    Text Solution

    |

  12. The value of sum(n=1)^(N) Un=|{:(n,1,5),(n^2,2N+1,2N+1),(n^3,3N^2,3N):...

    Text Solution

    |

  13. If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") te...

    Text Solution

    |

  14. Let a, b, c be positive and not all equal. Then possible value of the ...

    Text Solution

    |

  15. The greatest value of x satisfying the equation |(2^11-x,-2^12,2^11),...

    Text Solution

    |

  16. The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z =...

    Text Solution

    |

  17. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  18. The largest value of a third order determinant whose elements are equa...

    Text Solution

    |

  19. If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3)...

    Text Solution

    |

  20. If all elements of a third order determinant are equal to 1 or -1. the...

    Text Solution

    |