Question

If z₁ = 2 + 5i, z₂ = -3 – 4i, and z₃ = 1 + i, find the additive and multiplicative inverse of z₁ , z₂ , and z₃.

Answer 1

z₁ = 2 + 5i

(а) Additive inverse of 

z₁ = -z₁ = -(2 + 5i) = -2 – 5i 

(b) Multiplicative inverse of

z₂ = -3 – 4i 

(a) Additive inverse of 

z₂ = -z₂ = -(-3 – 4i) = 3 + 4i

(b) Multiplicative inverse of

z₃ = 1 + i

(а) Additive inverse of 

z₃ = -z₃ = -(1 + i) = -1 – i

(b) Multiplicative inverse of