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3. Choose any two complex numbers z, and z2 and show that the following statements are true for
those numbers. Then prove that the statements are true for any z₁ = a + bi and z₂ = c + di.
a. Z₁ + Z₁ and Z₂ + Z₂ are both real numbers.
b. Z₁-Z₁ and 22-Z₂ are both pure imaginary numbers.
c. Z₁ + Z₂ = Z₁ + Z₂
d. Z₁ Z₂ = Z₁ Z2
4. For what complex number z does z=z? Justify your conclusion.

3 Choose any two complex numbers z and z2 and show that the following statements are true for those numbers Then prove that the statements are true for any z a class=

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