  The noncommutative analogues of the nonisospectral Toda and Lotka-Volterra
lattices are proposed and studied by performing nonisopectral deformations on
the matrix orthogonal polynomials and matrix symmetric orthogonal polynomials
without specific weight functions, respectively. Under stationary reductions,
matrix discrete Painlev\'{e} I and matrix asymmetric discrete Painlev\'{e} I
equations are derived separately not only from the noncommutative
nonisospectral lattices themselves, but also from their Lax pairs. The
rationality of the stationary reduction has been justified in the sense that
quasideterminant solutions are provided for the corresponding matrix discrete
Painlev\'{e} equations.
