Consider the following map defined on the symmetric group S3: Þ: S3 → GL₂ (R) given by: Þ(e) = ((123)) = ((132)) = ( 9) Þ((12)) = Þ((13)) = $((23)) = (- -29 20 -42 29, (a) Show that map & defines a representation of S3.

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A: As per the guidelines I have solved first problem.

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