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Let w≠1 be a cube root of unity and s be the set of all non-singular matrices of the form(refer to the matrix in attached image) where each of a,b and c is either w or w². Find number of distinct matrices in set s.

khushbu , 7 Years ago
Grade 12
anser 1 Answers
Vikas TU

Last Activity: 7 Years ago

. c≠1/ω  & a≠1/ω c≠1/ω  & a≠1/ω
           ⇒  c≠ω2,   a≠ω2 c≠ω2,   a≠ω2
           ⇒  a & c must be ω & b can be ω or ω2
                total matrices = 2

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