Home
Class 12
MATHS
If omega is complex cube root of 1 then ...

If `omega` is complex cube root of 1 then S.T `[(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)]=0`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    SRISIRI PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|45 Videos
  • MATRICES

    SRISIRI PUBLICATION|Exercise II VSAQ,SAQ,LAQ|13 Videos
  • MATHEMATICAL INDUCTION

    SRISIRI PUBLICATION|Exercise LONG ANSWER QUESTIONS|19 Videos
  • PAIR OF LINES

    SRISIRI PUBLICATION|Exercise MISCELLANEOUS|2 Videos

Similar Questions

Explore conceptually related problems

(1+omega-omega^(2))(1-omega+omega^(2))

If omega is a cube root of unit, then Delta=|(x+1,omega, omega^(2)),(omega, x+omega^(2),1),(omega^(2),1,x+omega)|=

find determinant of |(1, omega, omega^(2)),(omega, omega^(2),1),(omega^(2),1,omega)|=

If omega is a complex cube root of unity, then 225+(3omega+8omega^(2))^(2)+(3omega^(2)+8omega)^(2)

If 1, omega, omega^(2) are the cube roots of unity then Delta=|(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 (x+1)(x+omega)(x-omega-1)

(1-omega+omega^(2))^(7)+(1+omega-omega^(2))^(7)

(1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)

If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(23))pi-(pi)/(4)]

SRISIRI PUBLICATION-MATRICES-SAPAR PAPER QUESTIONS
  1. If omega is complex cube root of 1 then S.T [(1,omega,omega^(2)),(omeg...

    Text Solution

    |

  2. IF A=[{:(-1,2),(0,1):}] then find AA'. Do A and A' commute with respec...

    Text Solution

    |

  3. IF A=[{:(7,-2),(-1,2),(5,3):}],B=[{:(-2,-1),(4,2),(-1,0):}] then find ...

    Text Solution

    |

  4. Find the determinant of the matrix [{:(a,b,c),(b,c,a),(c,a,b):}]

    Text Solution

    |

  5. Find the inverse of A=[{:(2,-3),(4,6):}]

    Text Solution

    |

  6. Find the rank of [{:(1,2,6),(2,4,3):}]

    Text Solution

    |

  7. IF A=[{:(1,1,3),(5,2,6),(-2,-1,-3):}] then find A^3.

    Text Solution

    |

  8. IF A=[{:(1,-2,3),(0,-1,4),(-2,2,1):}] then find (A')^-1.

    Text Solution

    |

  9. Find the rank of A=[{:(0,1,1,-2),(4,0,2,5),(2,1,3,1):}] using elementa...

    Text Solution

    |

  10. By using Cramer's rule solve 2x-y+3z=9,x+y+z=6,x+y+z=2.

    Text Solution

    |

  11. Solve the following system of equations by using Cramer's rule. x-y+...

    Text Solution

    |

  12. By using Cramer's rule solve 2x-y+3z=9,-x+2y+z=4,3x+y-4z=0.

    Text Solution

    |

  13. By using Cramer's solve 5x-6y+4z=15,7z+4y-3z=19,2x+y+6z=46.

    Text Solution

    |

  14. By using Cramer's solve x+y+z=1,2x+2y+3z=6,x+4y+9z=3

    Text Solution

    |

  15. By using Cramer's solve x+y+z=9,2x+5y+7z=52,2x+y-z=0

    Text Solution

    |

  16. Solve the following equations by using Matrix inversion method. 2x-y...

    Text Solution

    |

  17. Solve the equations x+y+3z=5,4x+2y-z=0,-x+3y+z=5 by matrix inversion m...

    Text Solution

    |

  18. x+y+z=1,2x+2y+3z=6,z+4y+9z=3, by Gauss-Jordan method.

    Text Solution

    |

  19. Solve the equations x-3y-8z=-10,3x+y-4z=0,2x+5y+6z=13, by Gauss -Jorda...

    Text Solution

    |

  20. Solve 2x+6y+11=0,6x+20y-6z+3=0,6y-18z+1=0, by Gauss -Jordan method.

    Text Solution

    |

  21. Examine the consistency of the following systems of equations x+y+z=1...

    Text Solution

    |