Home
Class 12
MATHS
Value of |{:(1,omega,omega^(2)),(omega,o...

Value of `|{:(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega):}|` is zero, where `omega,omega^(2)` are imaginary cube roots of unity.

Text Solution

Verified by Experts

The correct Answer is:
True
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - B|8 Videos

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - C|8 Videos

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - A (Fill in the blanks from the given options) |8 Videos

  • SAMPLE QUESTION PAPER - I

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos

  • SAMPLE QUESTION PAPER-I

    ACCURATE PUBLICATION|Exercise SECTION-D|6 Videos

Similar Questions

Explore conceptually related problems

Sum the series : 1(2-omega)(2-omega^(2))+2(3-omega)(3-omega^(2))......(n-1)(n-omega)(n-omega^(2)) where omega and omega^(2) are non-real cube roots of unity.

If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(omega, omega^2, 1),(omega^2, 1 , omega)|

Show that a=r omega^(2) .

If omega^(3)=1 and omega ne1 , then (1+omega)(1+omega^(2))(1+omega^(4))(1+omega^(5)) is equal to

If 1,alpha_1,alpha_2,alpha_3,alpha_4 be the roots x^5-1=0 , then value of [omega-alpha_1]/[omega^2-alpha_1].[omega-alpha_2]/[omega^2-alpha_2].[omega-alpha_3]/[omega^2-alpha_3].[omega-alpha_4]/[omega^2-alpha_4] is (where omega is imaginary cube root of unity)

If omega!=1 is a complex cube root of unity, then prove that [{:(1+2omega^(2017)+omega^(2018)," "omega^(2018),1),(1,1+2omega^(2018)+omega^(2017),omega^(2017)),(omega^(2017),omega^(2018),2+2omega^(2017)+omega^(2018)):}] is singular

If x, y, z are not all zero & if ax + by + cz=0, bx+ cy + az=0 & cx + ay + bz = 0 , then prove that x: y : z = 1 : 1 : 1 OR 1 :omega:omega^2 OR 1:omega^2:omega , where omega is one ofthe complex cube root of unity.

If omega ne 1 and omega^3=1 , then : (a omega+b+c omega^2)/(a omega^2+b omega+c) + (a omega^2+b+c omega)/(a+b omega+c omega^2) is equal to :

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If 1,omega,omega^(2),...omega^(n-1) are n, nth roots of unity, find the value of (9-omega)(9-omega^(2))...(9-omega^(n-1)).