  Weighted singular value decomposition (WSVD) and a representation of the
weighted Moore-Penrose inverse of a quaternion matrix by WSVD have been
derived. Using this representation, limit and determinantal representations of
the weighted Moore-Penrose inverse of a quaternion matrix have been obtained
within the framework of the theory of the noncommutative column-row
determinants. By using the obtained analogs of the adjoint matrix, we get the
Cramer rules for the weighted Moore-Penrose solutions of left and right systems
of quaternion linear equations.
