Induced Funtion

[Maxwhale]

1. The problem statement, all variables and given/known data

Can anyone explain me what a induced function in linear algebra means?

The definition says:

fA(x) = y if a[x]B = [y]C



2. Relevant equations



3. The attempt at a solution

The definition says:

fA(x) = y if a[x]B = [y]C.