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:
For any value of `lamda`, the determinant is `0`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section B|45 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 9

    ARIHANT PRAKASHAN|Exercise Section C|24 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]] =_________

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):}|

ARIHANT PRAKASHAN-VERY SIMILAR TEST 8-Section C
  1. If omega is a complex cube root of 1,then for what value of. lamda the...

    Text Solution

    |

  2. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

    Text Solution

    |

  3. Show that the right circular cone of least curved surface area and giv...

    Text Solution

    |

  4. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

    Text Solution

    |

  5. Find the particular solution of the differential equation (1 - y^(...

    Text Solution

    |

  6. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

    Text Solution

    |

  7. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  8. Find the equation of the two lines through the origin which intersect ...

    Text Solution

    |

  9. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

    Text Solution

    |

  10. Solve the following LPP graphically. Maximize Z = 10x + 6y Sub...

    Text Solution

    |

  11. Show the f:R-{-1)rightarrowR-{1} given by f(x)=frac[x][x-1] is inverti...

    Text Solution

    |

  12. Show the following system of equations is consistent 2x - y + 3z = 5, ...

    Text Solution

    |

  13. If A and B are two independent events such that P(barAcapB)=2/15 and P...

    Text Solution

    |

  14. Find the inverse of the matrix A = |(1, 2, -2),(-1, 3, 0),(0, -2, 1)| ...

    Text Solution

    |

  15. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

    Text Solution

    |

  16. Find the area bounded by the curve y = sin x between x = 0 and x=2pi.

    Text Solution

    |

  17. Find the particular solution of the differential equation (1 - y^(...

    Text Solution

    |

  18. Evaluate int (1)/((x^(2) - 4)sqrt(x + 1))dx

    Text Solution

    |

  19. Answer any three questions Find the coordinates of the point, where ...

    Text Solution

    |

  20. Find the equation of the two lines through the origin which intersect ...

    Text Solution

    |

  21. If a, b, c gt 0 such that a + b + c = abc find the value of tan^(-1)a ...

    Text Solution

    |