Home
Class 12
MATHS
If omega is a cube root of unity |(1, om...

If `omega` is a cube root of unity `|(1, omega, omega^(2)),(omega, omega^(2), 1),(omega^(2), omega, 1)| =`

A

0

B

1

C

`omega`

D

`omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • SOLVED PAPER 04

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If omega is a cube root of unity (1-2 omega+omega^(2))^(6)=

If omega is the cube root of unity then {:abs((1,omega,omega^2),(omega,omega^2,1),(omega^2,1,omega)):} is

If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(8))=

If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^(n),omega^(2n)],[omega^(n),omega^(2n),1],[omega^(2n), 1, omega^(n)]]

If omega is a complex cube root of unity , then the matrix A = [(1,omega^(2),omega),(omega^(2),omega,1),(omega,1,omega^(2))] is a :

If omega(ne 1) is a cube root of unity, then |{:(1,1+omega^(2),omega^(2)),(1-i,-1,omega^(2)-1),(-i,-1+omega,-1):}| equals :

If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(7)=

If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b omega^(2)) is

If omega is an imaginary cube root of unity, then (1+omega+omega^(2))^(7) equals :

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. |(a,b,c),(b,c,a),(c,a,b)| =

    Text Solution

    |

  2. If A = [[1,1,1],[1,1,1],[1,1,1]], A^(2) =

    Text Solution

    |

  3. If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^...

    Text Solution

    |

  4. The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are

    Text Solution

    |

  5. The inverse of [[3, -2],[-7,5]] is

    Text Solution

    |

  6. From the matrix equation AB = AC we can conclude B = C provided

    Text Solution

    |

  7. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  8. In a triangle ABC if a = 2, B = 60^(@) and C = 75^(@), then b =

    Text Solution

    |

  9. If tan^(-1) 2x + tan^(-1) 3x = (pi)/(4), then x =

    Text Solution

    |

  10. The general solution of tan 2 theta tan theta = 1 is theta =

    Text Solution

    |

  11. cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

    Text Solution

    |

  12. (1 + i)^(5) + (1 - i)^(5) =

    Text Solution

    |

  13. The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

    Text Solution

    |

  14. cos[tan^(-1) {sin(cot^(-1) x)}] =

    Text Solution

    |

  15. The general value of theta which satisfies the equation (cos theta + i...

    Text Solution

    |

  16. The length of the tangent from the point (1, -4) to the circle 2x^(2) ...

    Text Solution

    |

  17. For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x...

    Text Solution

    |

  18. The equation to the parabola with focus (2, 0) and the directrix x + 3...

    Text Solution

    |

  19. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  20. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

    Text Solution

    |