Home
Class 12
MATHS
Let omega!=1 be cube root of unity and S...

Let `omega!=1` be cube root of unity and `S` be the set of all non-singular matrices of the form `[1a bomega1comega^2theta1],w h e r e` each of `a ,b ,a n dc` is either `omegaoromega^2dot` Then the number of distinct matrices in the set `S` is a. 2 b. `6` c. `4` d. `8`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [[1,a,bomega,1,comega^(2),theta,1]], where each of a,b, and c is either omega or omega^(2). Then the number of distinct matrices in the set S is (a) 2 (b) 6 (c) 4 (d) 8

With 1,omega,omega^(2) as cube roots of unity, inverse of which of the following matrices exists?

Let A be the set of all 3xx3 skew-symmetri matrices whose entries are either -1,0, or 1 If there are exactly three os three 1s, and there (-1)'s, then the number of such matrices is

If omega(!=1) is a cube root of unity,then the sum of the series S=1+2 omega+3 omega^(2)+....+3n omega^(3n-1) is

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 omega is a cube root of unity but not equal to 1, then minimum value of abs(a+bomega+comega^(2)) , (where a,b and c are integers but not all equal ), is