Here is the product table for the triangle rotation group ({mathbf{E}, mathbf{A}, mathbf{B}}). Write the matrices for

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Here is the product table for the triangle rotation group \(\{\mathbf{E}, \mathbf{A}, \mathbf{B}\}\). Write the matrices for the regular representation of group members \(\mathbf{E}, \mathbf{A}\), and \(\mathbf{B}\).

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