Question

Show that set of all vectors form an infinite abelian group

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

The identity element is the vector (0,0), and every element has an inverse. Indeed, if we have a vector (x1,x2) with integer coefficients then (−x1,−x2) also has integer coefficients, and their sum is (0,0). In that case, L is called a lattice, and it forms an infinite Abelian group.