The article presents a formalism to define
non-trivial subspaces of complex matrix spaces of order
m by n, where m and n are different. This is achieved by
using the Spacer matrix( as defined in Ghosh) and it’s
Hermitian conjugate, associated with the matrix space,
as the building blocks. The Mathematical formalism is
presented and illustrated with suitable numerical
Keywords : Spacer Matrices, Component Matrices of the Spacer Matrix, Embedding Dimension, Spacer Matrix based Generalized Matrix Multiplication.