in nueral network , WX+B is linear transformation?

Question

in linear algebra, linear function is called linear transformation

in neural network ,

linear transformation need two condition

1. f(x+y) = f(x) + f(y)
2. f(cx) = cf(x)

but WX+B is not satisfied these two condition. So, this is my question, even wx+b isn't satisfied above two condition, but normally people call wx + b to linear function. why?

thank you. master

Answer 1

linear function and linear transform are two different concepts.