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

If `omega` is a complex cube -root of unity and `A'={:[(omega),(omega)]:}" and "B'=[1omega]," then: "AB=`

A

`[1]`

B

`[omega]`

C

`[-1]`

D

`[omega^(2)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|26 Videos

  • MATHEMATICAL LOGIC

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|78 Videos

  • PAIR OF STRAIGHT LINES

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|19 Videos

Similar Questions

Explore conceptually related problems

If omega is a complex cube root of unity,then (x-y)(x omega-y)(x omega^(2)-y)=

If omega is a complex cube root of unity, then arg (iomega) + "arg" (iomega^(2))=

If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0),(,0,omega):}| , then H^(70) is equal to:

If omega is a complex cube root of unity, then what is omega^(10)+omega^(-10) equal to ?

If (omega!=1) is a cube root of unity then omega^(5)+omega^(4)+1 is

If omega is a cube root of unity and A=[(1,1,1),(1,omega,omega^(2)),(1,omega^(2),omega)] , then A^(-1) equal to

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))

MARVEL PUBLICATION-MATRICES-TEST YOUR GRASP
  1. For a invertible matrix A if A(adjA)=[(10,0),(0,10)], then |A|=

    Text Solution

    |

  2. If A and B are square matrices of the same order such that A^(2)=A,B^(...

    Text Solution

    |

  3. If A={:[(2,3),(1,-1)]:}" and "A^(2)=A+B," then : "B=

    Text Solution

    |

  4. Solve system of linear equations, using matrix method, x y" "+" "2...

    Text Solution

    |

  5. If A={:[(1,2),(3,4)]:}," then: " adj(adjA)=

    Text Solution

    |

  6. If A={:[(4,2),(5,3)]:}" then :"|adj(adjA)|=

    Text Solution

    |

  7. If A={:[(2,-1,1),(1,2,1),(-1,1,3)]:}" then "|adj(adjA)|=

    Text Solution

    |

  8. If A={:[(secx,tanx),(tanx,secx)]:}" and "A(adj*A)=k{:[(1,0),(0,1)]:},"...

    Text Solution

    |

  9. If A=[[0,1] , [-1,0]]=(alphaI+betaA)^2 then alpha and beta =

    Text Solution

    |

  10. If A={:[(2,1),(3,2)]:}" and "B={:[(1,2),(-1,3)]:}," then: "B^(-1)A=

    Text Solution

    |

  11. If A={:[(2,3),(1,2)]:}" and "B={:[(3,1),(1,0)]:}," then: "B^(-1)A^(-1)...

    Text Solution

    |

  12. If square matrices A and B are such that A^(2)=A,B^(2)=B and A,B commu...

    Text Solution

    |

  13. If A=[a(ij)](3xx3) is a scalar matrix such that a(ij)=5" for all "i=j,...

    Text Solution

    |

  14. If A={:[(1,a),(0,1)]:}," then, for all "ninN," matrix "A^(n)=

    Text Solution

    |

  15. If A={:[(0,5),(4,0)]:}" and "A^(-1)=kA," then: "k=

    Text Solution

    |

  16. If f(x)=1+x+x^(2)+x^(3)" and "A={:[(0,3),(0,0)]:}," then: "f(A)=

    Text Solution

    |

  17. If A=-BAB^(-1)," then: "(A+B)^(2)=

    Text Solution

    |

  18. If omega is a complex cube -root of unity and A'={:[(omega),(omega)]:}...

    Text Solution

    |

  19. If det(adjA)=|A|^(2), then the order of matrix A is

    Text Solution

    |

  20. If {:A=[(1,0,0),(0,1,0),(a,b,-1)]:}, then A^2 is equal to

    Text Solution

    |