Home
Class 12
MATHS
If omega is a complex cube root of 1,the...

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` ?

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -2 QUESTION FOR PRACTICE |10 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise PART -3 QUESTION FOR PRACTICE |11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos

Similar Questions

Explore conceptually related problems

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

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

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 ]| ?

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

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

ARIHANT PUBLICATION-DETERMINANTS -PART -1 QUESTION FOR PRACTICE
  1. Determine the maximum value of |{:(cosx, sin x),(-sinx, cos x-1):}|

    Text Solution

    |

  2. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

    Text Solution

    |

  3. If omega is a complex cube root of 1,then for what value of. lamda the...

    Text Solution

    |

  4. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

    Text Solution

    |

  5. IF omega and omega^2 are the complex cube roots of unity, write the va...

    Text Solution

    |

  6. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

    Text Solution

    |

  7. If every element of a third order determinant having value 8 is divide...

    Text Solution

    |

  8. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

    Text Solution

    |

  9. Evaluate |{:(sec theta,-tan theta),(-tan theta, sec theta):}|

    Text Solution

    |

  10. Evaulate |{:(cos15^@,sin 15^@),(sin75^@,cos 75^@):}|

    Text Solution

    |

  11. Evaluate |{:(log3 512,log4 3),(log3 8, log4 9):}|

    Text Solution

    |

  12. If |{:(2x,5),(8,x):}|=|{:(6,-2),(7,3):}| then find the value of x.

    Text Solution

    |

  13. IF |{:(2x,x+3),(2(x+1),x+1):}|=|{:(1,3),(-1,1):}| then find the value ...

    Text Solution

    |

  14. IF A=[(2,3),(3,-1):}]and B=[(1,3),(-1,1):}] then write the value of |...

    Text Solution

    |

  15. IF there are two values of a which makes determinant Delta=|{:(1,-2,5)...

    Text Solution

    |

  16. Evaluate |{:(cosa cos beta, cos a sin beta, -sin a),(-sin beta, cos be...

    Text Solution

    |

  17. Let A be a square matrix of order 3 times 3 Write the value of |2A| wh...

    Text Solution

    |

  18. IF A is 3 times 3 matrix |A| ne 0 and |3A|=k|A| then find the value of...

    Text Solution

    |

  19. Without expanding,show that the following determinant vanishes. abs ((...

    Text Solution

    |

  20. Write the value of Delta=|{:(x+y,y+z,z+x),(z,x,y),(-3,-3,-3):}|

    Text Solution

    |