  By applying suitable centrality condition to non-commutative non-isospectral
lattice modified Gel'fand-Dikii type systems we obtain the corresponding
non-autonomous equations. Then we derive non-commutative q-discrete Painleve VI
equation with full range of parameters as the (2,2) similarity reduction of the
non-commutative, non-isospectral and non-autonomous lattice modified
Korteweg-de Vries equation. We also comment on the fact that in making the
analogous reduction starting from Schwarzian Korteweg-de Vries equation no such
"non-isospectral generalization" is needed.
