Show that the group (D_{3}) has two 1D irreps in addition to the 2D irrep found in

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Show that the group \(D_{3}\) has two 1D irreps in addition to the 2D irrep found in Problem 5.6 , and construct the character table.

Derive the two-dimensional matrix representation

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Data from Problem  5.6

Derive the two-dimensional matrix representation

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