Advanced Linear Algebra
《Advanced Linear Algebra》 · 第 59 页 · Chapter 2「Linear Transformations」
Definition Let $V$ and $W$ be vector spaces over a field $F$. A function $T:V\to W$ is a linear transformation if $T(av+bw)=aT(v)+bT(w)$ for all scalars $a,b\in F$ and vectors $v,w\in V$.