Continuity of a jacobian, what does it mean?

Question

If we consider $\vec{v} : R^n \rightarrow R^n$ a vector field and $J_v(\vec{x})$ $$[J_v(x)]_{ij}=\frac{\partial v_i}{\partial x_j}(\vec{x}) \quad \forall i,j \in \{1,...,n\}$$ its jacobian matrix at point $\vec{x}$ in $R^n$. Then what does it means that $J_v$ is continuous at point $\vec{a}$ in $R^n$ ? Because $J_v$ is a matrix ?

Answer 1

It means that each entry of the matrix is continuous at $\vec a$.