Home
Class 12
MATHS
If omega!=1 is a cube root of unity, the...

If `omega!=1` is a cube root of unity, then find the value of `|[1+2omega^100+omega^200,omega^2,1],[1,1+omega^100+2omega^200,omega],[omega,omega^2,2+omega^100+omega^200]|`

A

A is singular

B

|A| =0

C

A is symmetric

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise COMPREHENSIONS|8 Videos
  • MATRICES

    FIITJEE|Exercise MATCH THE COLUMN|4 Videos
  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)|49 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If omega!=1 is a cube root of unity,then find the value of ,1+2 omega^(100)+omega^(200),omega^(2),11,1+omega^(100)+2 omega^(200),omegaomega,omega^(2),2+omega^(100)+omega^(200)]|

If omega is cube root of unit, then find the value of determinant |(1,omega^3,omega^2), (omega^3,1,omega), (omega^2,omega,1)|.

If omega is a cube root of unity,then find the value of the following: (1+omega-omega^(2))(1-omega+omega^(2))

If omega ne 1 is a cube root of unity, then 1, omega, omega^(2)

If omega is a cube root of unity,then find the value of the following: (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(8))

If omegais an imaginary cube root of unity, then the value of the determinant |(1+omega,omega^2,-omega),(1+omega^2,omega,-omega^2),(omega+omega^2,omega,-omega^2)|

If omega is an imaginary cube root of unity, then the value of |(1,omega^(2),1-omega^(4)),(omega,1,1+omega^(5)),(1,omega,omega^(2))| is

If omega is a non-real cube root of unity,then the value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5) is

FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)
  1. A = [{:( a,b,c) ,( b,c,a),(c,a,b) :}] if trace (A)= 9 and a,b , c are ...

    Text Solution

    |

  2. If A matrix of size nxxn such that A^(2) +A+2l =0 then

    Text Solution

    |

  3. Suppose that a,b,c are real numbers such that a+b+ c =1 If the matrix...

    Text Solution

    |

  4. In a set a =( 3^(3), 7^(3) , 11 ^(3) ,15^(3) …) if 9 elements are sele...

    Text Solution

    |

  5. The value of lamda so that the matric A^(-1)lamdaI is singular where A...

    Text Solution

    |

  6. If omega!=1 is a cube root of unity, then find the value of |[1+2omega...

    Text Solution

    |

  7. If A and B are two invertible matrices of the same order, then adj (AB...

    Text Solution

    |

  8. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  9. If A(alpha, beta)=[("cos" alpha,sin alpha,0),(-sin alpha,cos alpha,0),...

    Text Solution

    |

  10. Three matrices are given as A = [{:( alpha ^(2) ,4,6),(9,beta ^(4) , 7...

    Text Solution

    |

  11. Which of the following is/are true ?

    Text Solution

    |

  12. If M is the skew symmetric matrix of order nxxn then ,

    Text Solution

    |

  13. If A= [{:( alpha, beta ),( 0,alpha ) :}] is then n^(th ) root of I2 ...

    Text Solution

    |

  14. If matrix A =[{:( a,b,c),(b,c,a),(c,a,b) :}] where a,b,c are real posi...

    Text Solution

    |

  15. Suppose that a,b,c are real numbers such that a+b+c =1 , if the matrix...

    Text Solution

    |

  16. If A=[{:(1,0,0),(1,0,1),(0,1,0):}], then

    Text Solution

    |

  17. If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...

    Text Solution

    |