# Homomorphism and Kernel

Please help me to understand the attached homework problem on finding the kernel.

Find the Kernel

Consider the groups of nonzero complex numbers, *, and positive real number +, both with multiplication. Let f: *  + be defined by f(z)= |z|. Prove that f is a homomorphism and find the kernel of f.

https://brainmass.com/math/linear-transformation/homomorphism-kernel-positive-nonzero-240815

#### Solution Summary

This provides an example of proving f is a homomorphism and finding a kernel.

$2.19