Home
Class 12
MATHS
find determinant of |(1, omega, omega^(2...

find determinant of` |(1, omega, omega^(2)),(omega, omega^(2),1),(omega^(2),1,omega)|=`

A

0

B

1

C

`omega`

D

`omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D MCQ (LINEAR EQUATIONS)|53 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A MCQ (ALGEBRA OF MATRICES)|135 Videos
  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos
  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

(1+omega-omega^(2))(1-omega+omega^(2))

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

If omega is complex cube root of 1 then S.T [(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)]=0

If 1, omega, omega^(2) are the cube roots of unity then Delta=|(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))|=

(1-omega+omega^(2))^(7)+(1+omega-omega^(2))^(7)

(1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)

(1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =

(1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(5))(1-omega^(7))(1-omega^(8))

If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)) , (2 , 2omega^(2) , 4 omega^(3)) , (3 , 3 omega^(3) , 6 omega^(4)):}| =

(1+omega)(1+omega^(2))(1+omega^(3))(1+omega^(4))(1+omega^(5))......(1+omega^(3n))