With , , and as cube roots of unity, the inverse of which of the following matrices…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

With

1

\omega

, and

\omega^2

as cube roots of unity, the inverse of which of the following matrices exists? (1)

\begin{bmatrix}1&\omega\\\omega&\omega^2\end{bmatrix}

(2)

\begin{bmatrix}\omega^2&1\\1&\omega\end{bmatrix}

(3)

\begin{bmatrix}\omega&\omega^2\\\omega^2&1\end{bmatrix}

(4) None of these