QUESTION. Let $L:V\rightarrow W$ be a linear map. Let $w$ be an element of $W$. Let $\nu_0$ be an element of $V$ such that $L(\nu_0)=w$. Show that any solution of the equation $L(X)=w$ is a type $\nu_0+u$. where $u$ is an element of the kernel of $D$.

QUESTION. Let $L:V\rightarrow W$ be a linear map. Let $w$ be an element of $W$. Let $\nu_0$ be an element of $V$ such that $L(\nu_0)=w$. Show that any solution of the equation $L(X)=w$ is a type $\nu_0+u$. where $u$ is an element of the kernel of $D$.