  We present simple solutions of IKKT-type matrix models that can be viewed as
quantized homogeneous and isotropic cosmological space-times, with finite
density of microstates and a regular Big Bang (BB). The BB arises from a
signature change of the effective metric on a fuzzy brane embedded in
Lorentzian target space, in the presence of a quantized 4-volume form. The
Hubble parameter is singular at the BB, and becomes small at late times. There
is no singularity from the target space point of view, and the brane is
Euclidean "before" the BB. Both recollapsing and expanding universe solutions
are obtained, depending on the mass parameters.
