ABC26PH1088 · Group Theory
Subject: Physical Chemistry · Chapter: Group Theory · Topic: Group Theory – General · Exam: NET DEC 2019 · Marks: 2 · Difficulty: Medium
Given the matrices for $\mathrm{C_3}$ and $\sigma_h$ below \[ C_{3}=\begin{bmatrix} -\dfrac{1}{2} & -\dfrac{\sqrt{3}}{2} & 0 \\ \dfrac{\sqrt{3}}{2} & -\dfrac{1}{2} & 0 \\ 0 & 0 & 1 \end{bmatrix} \quad \sigma_{h}=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix} \]
the trace of the matrix representing for $\mathrm{S_3^2}$ is Answer
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