We have defined the set R2 = {(x, y) : x, y R}, together with the addition and scalar
Chapter 4, Problem 15(choose chapter or problem)
We have defined the set R2 = {(x, y) : x, y R}, together with the addition and scalar multiplication operations as follows: (x1, y1) + (x2, y2) = (x1 + x2, y1 + y2), k(x1, y1) = (kx1, ky1). Give a complete verification that each of the vector space axioms is satisfied.
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