Solved: Let V be the set of all ordered pairs of real numbers with addition defined by
Chapter 3, Problem 11(choose chapter or problem)
Let V be the set of all ordered pairs of real numbers with addition defined by (x1, x2) + (y1, y2) = (x1 + y1, x2 + y2) and scalar multiplication defined by (x1, x2) = (x1, x2) Scalar multiplication for this system is defined in an unusual way, and consequently we use the symbol to avoid confusion with the ordinary scalar multiplication of row vectors. Is V a vector space with these operations? Justify your answer.
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