Question: Show that the complex numbers C = {a+bi a, b R, i2 = 1} are a vector space over the field R where addition is

Show that the complex numbers C = {a+bi a, b R, i2 = 1} are a vector space over

the field R where addition is defined as usual and scalar multiplication is defined by c(a + bi) = ca + cbi for cR and a+biC.

(5) Show that the complex numbers C = {a+bi | a, be R, i2 =-1} are a vector space over the field R where addition is defined as usual and scalar multiplication is defined by c(a + bi) = ca + chi for cER and a + bie C

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