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Let ω be a complex cube root of unity with ω ≠ 1 and P = [pij] be a n × n matrix with pij = ωi+j. Then p2 ≠ 0, when n =
  • a)
    57
  • b)
    55
  • c)
    58
  • d)
    56
Correct answer is option 'B,C,D'. Can you explain this answer?
Verified Answer
Let ω be a complex cube root of unity with ω ≠ 1 and P ...
It shows P2 = 0 if n is a multiple of 3.
So for P2 ≠ 0, n should not be a multiple of 3 i.e. n can take values 55, 58, 56
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Let ω be a complex cube root of unity with ω ≠ 1 and P ...
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Let ω be a complex cube root of unity with ω ≠ 1 and P = [pij] be a n × n matrix with pij = ωi+j. Then p2 ≠ 0, when n =a)57b)55c)58d)56Correct answer is option 'B,C,D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let ω be a complex cube root of unity with ω ≠ 1 and P = [pij] be a n × n matrix with pij = ωi+j. Then p2 ≠ 0, when n =a)57b)55c)58d)56Correct answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let ω be a complex cube root of unity with ω ≠ 1 and P = [pij] be a n × n matrix with pij = ωi+j. Then p2 ≠ 0, when n =a)57b)55c)58d)56Correct answer is option 'B,C,D'. Can you explain this answer?.
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