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QUESTION
Let V = {0, 1, a, b} be the field with four elements and F = Z2. Define addition in V using the addition table for the field of four elements.
Let V = {0, 1, a, b} be the field with four elements and F = Z2. Define addition in V using the addition table for the field of four elements. Define scalar multiplication by 0v = 0, 1v = v for all v ∈ V . Prove that V is a vector space over F.
