Prove that the action of the symmetry operations (sigma_{b}) and (sigma_{c}) on the basis vectors (boldsymbol{e}_{1}) and

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Prove that the action of the symmetry operations \(\sigma_{b}\) and \(\sigma_{c}\) on the basis vectors \(\boldsymbol{e}_{1}\) and \(\boldsymbol{e}_{2}\) in Fig. 5.10 are given by the matrix equations (5.11) and (5.12).

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