Home
Class 12
MATHS
If omega is a complex cube root of unity...

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

A

Singular matrix

B

Non-symmetric matrix

C

Skew-symmetric matrix

D

Non-Singular matrix

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise TRIGONOMETRIC FUNCTIONS |44 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MATHEMATICAL LOGIC |32 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

If omega is a complex cube root of unity.Show that Det[[1,omega,omega^(2)omega,omega^(2),1omega^(2),1,omega]]=0

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

omega is a complex cube root of unity,then (1-omega)(1-+-ega^(2))(1-omega^(4))(1-omega^(8))

If omega is a complex cube root of unity, then a root of the equation |(x +1,omega,omega^(2)),(omega,x + omega^(2),1),(omega^(2),1,x + omega)| = 0 , is

If omega be a complex cube root of unity then the value of (1)/(1+2 omega)-(1)/(1+omega)+(1)/(2+omega) is

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

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATRICES
  1. If A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)] the...

    Text Solution

    |

  2. The solutiion of (x,y,z) the equation [(-1,0,1),(-1,1,0),(0,-1,1)][(x)...

    Text Solution

    |

  3. If omega is a complex cube root of unity then the matrix A = [(1, omeg...

    Text Solution

    |

  4. If A=[[4, -1], [-1, k]] such that A^(2)-6A+7I=0 and k=

    Text Solution

    |

  5. Simplify cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin t...

    Text Solution

    |

  6. Let {:A=[(0,0,-1),(0,-1,0),(-1,0,0)]:}. The only correct statement abo...

    Text Solution

    |

  7. If A = [(cos alpha,sin alpha),(-sin alpha,cos alpha)], then A^(10) = ....

    Text Solution

    |

  8. The element of second row and third column in the inverse of [[1, 2, 1...

    Text Solution

    |

  9. If A = [(4,5),(2,5)], then |(2A)^(-1)|=....

    Text Solution

    |

  10. If [(x-y-z),(-y+z),(z)]=[(0),(5),(3)] then the values of x,y and z are...

    Text Solution

    |

  11. The value of x, y, z for the following system of equations x + y + z =...

    Text Solution

    |

  12. If A = [(3,0,0),(0,3,0),(0,0,3)], then |A||adj A| =...

    Text Solution

    |

  13. If the system of equations 6x + 2y = 3 and kx + y = 2 has a unique so...

    Text Solution

    |

  14. Let A=[1-1 1 2 1-3 1 1 1]a n d10 B=[-4 2 2-5 0alpha1 2 3]dot If B is...

    Text Solution

    |

  15. Matrix A =[(1,2,3),(1,1,5),(2,4,7)] then the value of A(31) A(3...

    Text Solution

    |

  16. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |

  17. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  18. Select and write the most appropriate answer from the given alternativ...

    Text Solution

    |

  19. A = [(cos theta,-sin theta),(-sin theta,-cos theta)] then find A^(-1).

    Text Solution

    |

  20. If A = [(a,b),(c,d)] then find the value of |A|^(-1)

    Text Solution

    |