Complex Analysis: Theory and Applications · Problem 1.3.1

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · modulus-computations

Problem

Evaluate the following quantities. Put your answer in the form

a+ib

and show your work. (a)

|(1+i)(2+i)|

. (b)

\left|\dfrac{4-3i}{2-i}\right|

. (c)

|(1+i)^{50}|

. (d)

|z\overline{z}|

, where

z = x+iy

. (e)

|z-1|^2

, where

z = x+iy