With 1, , 2 as cube roots of unity, inverse of which of the following matrices exist?
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
With 1, \(\omega\), \(\omega\)2 as cube roots of unity, inverse of which of the following matrices exist?
- \(\left[\begin{array}{cc} 1 & \omega \\ \omega & \omega^{2} \end{array}\right]\)
- \(\left[\begin{array}{cc} \omega^{2} & 1 \\ 1 & \omega \end{array}\right]\)
- \(\left[\begin{array}{cc} \omega & \omega^{2} \\ \omega^{2} & 1 \end{array}\right]\)
- None of these
Answer
(D) None of these
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