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

Let `omega != 1` be cube root of unity and `S` be the set of all non-singular matrices of the form `[(1,a,b),(omega,1,c),(omega^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`

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,b),(omega,1,c),(omega^2,omega,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

Let omega != 1 be cube root of unity and S be the set of all non-singular matrices of the form [(1,a,b),(omega,1,c),(omega^2,omega,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

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

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

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

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [1a bomega1comega^2omega1],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

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [1a bomega1comega^2omega1],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

Let omega!=1 be cube root of unity and S be the set of all non-singular matrices of the form [1a bomega1comega^2omega1],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