Consider the matrices (a) Do they form a representation of (mathbb{Z}_{2}) ? Why? (b) If so, is

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Consider the matrices

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(a) Do they form a representation of \(\mathbb{Z}_{2}\) ? Why?

(b) If so, is the representation reducible?

(c) If so, is this a regular representation?

(d) If so, is this equivalent with the roots of unity representation?

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