Chapter 2

1.) i ∙ i=-1.

2.) For z= (x, y) = x + i∙ yC,

x=Rez- imaginary part of z;

y=Rez- real part of z;

3.) z₁=z₂ if and only if Rez₁ = Rez₂ and Imz₁ =Imz₂

4.) zC*\R hence Rez=0, z is called a strictly real complex number.

5.) z₁∙z₂= (x₁ + y₁∙ i) ∙ (x₂ + y₂∙ i) = (x₁ x₂- y₁ y₁) + (x₁ y₂ + x₁ y₁) ∙ i

6.) zR if and only if Rez=0.