In this paper, we give a characterization of hyperbolic linear dynamical systems via the notions of various inverse shadowing. More precisely it is proved that for a linear dynamical system f(x)=Ax of $C^n$, f has the ${\tau }_h$ inverse(${\tau }_h-orbital$ inverse or ${\tau }_h-weak$ inverse) shadowing property if and only if the matrix A is hyperbolic.