A Visual Introduction to Function Kernels

To answer this, let’s start by seeing all the points v=⎣⎡​v1​v2​v3​​⎦⎤​ that map onto the origin of the output space – [00​]. Additionally, given this is true for some v+k, this is true for all points on the line v+K. This broadly states that the relation between the sets of pre-images of a special type of function known as a homomorphism (in our case f) is the exact same as the relation between the set of output points (we’ll go into this in the next blog post!)

Source: www.dhruvonmath.com