Show that if we consider (gamma_{5}=i gamma^{0} gamma^{1} gamma^{2} gamma^{3}) together with (gamma^{0}) and (gamma^{i}), they form

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Show that if we consider \(\gamma_{5}=i \gamma^{0} \gamma^{1} \gamma^{2} \gamma^{3}\) together with \(\gamma^{0}\) and \(\gamma^{i}\), they form a Clifford algebra in five dimensions.

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