  We have theoretically investigated the magnetic response of two-dimensional
(2D) arrays of superconducting and soft magnetic strips, which are regarded as
models of dc magnetic metamaterials. The anisotropy of the macroscopic
permeabilities depends on whether the applied magnetic field is parallel to the
wide surface of the strips ($\mu_{\parallel}$) or perpendicular
($\mu_{\perp}$). For the 2D arrays of superconducting strips,
$0<\mu_{\perp}/\mu_0\ll \mu_{\parallel}/\mu_0\simeq 1$, whereas for the 2D
arrays of soft magnetic strips,
$\mu_{\parallel}/\mu_0\gg\mu_{\perp}/\mu_0\simeq 1$, where $\mu_0$ is the
vacuum permeability. We also demonstrate that strong anisotropy of the
macroscopic permeability can be obtained for hybrid arrays of superconducting
and soft magnetic strips, where $\mu_{\parallel}/\mu_0\gg 1\gg
\mu_{\perp}/\mu_0>0$.
