Home
Class 12
MATHS
Evaluate the following determinants. [[1...

Evaluate the following determinants. `[[1,omega],[-omega,omega]]`

Text Solution

Verified by Experts

`[[1,omega],[-omega,omega]]=omega+omega^2 =-1`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • DIFFERENTIAL EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|87 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following determinants. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]]

If omega is a complex cube root of 1,then for what value of. lamda the determinant |[1,omega,omega^(2)],[omega,lamda,1],[omega^(2),1,omega]|=0 ?

Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^2,1,x+omega]] =0

Establish the following relations: L = I omega

Fill in the blanks with appropriate answer from the bracket. [[1,omega,omega^2],[omega,omega^2,1],[omega^2,1,omega]] =_________

IF omega and omega^2 are the complex cube roots of unity, write the value of the following determinant. |{:(cos^2x,-1,sin^2x),(-2,1,1),(omega,omega^2,1):}|

Derive the following relations by calculus method : omega=omega_@ + alphat

Derive the following relations by calculus method : omega^2=omega_@^2 + 2alphatheta

if omega be the cube root of unit then what is the value of |[1,omega ,omega^2],[omega, omega^2,1],[omega^2,1,omega ]| ?

MBD PUBLICATION-DETERMINATES-QUESTION BANK
  1. Evaluate the following determinants. [[sectheta,tantheta],[tantheta,se...

    Text Solution

    |

  2. Evaluate the following determinants. [[0,x],[2,0]]

    Text Solution

    |

  3. Evaluate the following determinants. [[1,omega],[-omega,omega]]

    Text Solution

    |

  4. Evaluate the following determinants. [[4,-1],[3,2]]

    Text Solution

    |

  5. Evaluate the following determinants. [[costheta,sintheta],[sintheta,co...

    Text Solution

    |

  6. Evaluate the following determinants. [[1,1,1],[1,1,1],[1,1,1]]

    Text Solution

    |

  7. Evaluate the following determinants. [[1,0,0],[0,1,0],[0,0,1]]

    Text Solution

    |

  8. Evaluate the following determinants. [[2,3,1],[0,0,0],[-1,2,0]]

    Text Solution

    |

  9. Evaluate the following determinants. [[1,x,y],[0,sinx,siny],[0,cosx,c...

    Text Solution

    |

  10. Evaluate the following determinants. [[1,2,3],[1,2,3],[3,4,5]]

    Text Solution

    |

  11. Evaluate the following determinants.[[0.2,0.1,3],[0.4,0.2,7],[0.6,0.3,...

    Text Solution

    |

  12. Evaluate the following determinants. [[1,omega,omega^2],[omega,omega^2...

    Text Solution

    |

  13. Evaluate the following determinants. [[1,1,1],[2,2,2],[3,3,3]]

    Text Solution

    |

  14. Evaluate the following determinants. [[-6,0,0],[3,-5,7],[2,8,11]]

    Text Solution

    |

  15. Evaluate the following determinants. [[1,0,0],[2,3,5],[4,1,3]]

    Text Solution

    |

  16. Evaluate the following determinants. [[-18,17,19],[3,0,0],[-14,5,2]]

    Text Solution

    |

  17. State true or false. If the first and second rows of a determinant be ...

    Text Solution

    |

  18. State true or false. If first and third rows of a determinant be inter...

    Text Solution

    |

  19. State true or false. If in a third order determinant first row be chan...

    Text Solution

    |

  20. State true or false. A row and a column of a determinant can have two ...

    Text Solution

    |