Denote by X₁1 the operation "multiplication modulo 11" where a X11 b is the remainder when a × b is divided by 11. 1. Construct the operation table for X₁1 on the set Z₁1. 2. What is the identity element of Z₁₁ under X₁₁? 3. Determine the inverse of each element of Z₁₁ with respect to X11.

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