Solved: Let C be the set of complex numbers. Define addition on C by (a + bi) + (c + di)

Chapter 3, Problem 3

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Let C be the set of complex numbers. Define addition on C by (a + bi) + (c + di) = (a + c) + (b + d)i and define scalar multiplication by (a + bi) = a + bi for all real numbers . Show that C is a vector space with these operations.

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