Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be a complex cube root of unity with 
and 
be a 
matrix with 
. Then 
, when 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c, d)
n = 1
P = [ω 2 ]
P 2 = [ω 4 ] 
0
n = 2
P = 
P 2 = 
0
n = 3
P = 
Similarly, P 2 
0 when n is not multiple of 3.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Let . Then the value of at is
Let z = x + iy be a complex number where x and y are integers. Then the area of the rectangle whose…
Let and be two distinct complex numbers and let for some real number with . If denotes the pr…
Let ω be the complex number cos + i sin . Then the number of distinct complex numbers z satisfyin…
Match the statements in List I with those in List II [Note: Here takes the values in the complex p…
If z is any complex number satisfying |z – 3 – 2i| 2, then the minimum value of |2z – 6 + 5i| is