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.

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Vikas TU · Answer

. 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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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.

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.

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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.

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.

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