  Given a tropical linear space $L \subseteq \mathbb{T}^n$ and a matrix $A \in
\mathbb{T}^{m \times n}$, the image $AL$ of $L$ under $A$ is typically not a
tropical linear space. We introduce a tropical linear space
$\mathrm{tropim}_A(L)$, the tropical image, containing $AL$. We show under mild
hypotheses that $\mathrm{tropim}_A(L)$ is realizable if $L$ is and apply the
tropical image to construct the stable sum of two tropical linear spaces
without a disjoint pair of bases.
