3 Conclusion
It has been found that a matrix S of order n×n generated through the special
properties was reduced to subsequent lower order matrices recursively. All the
reduced matrices were singular compliant with the special properties. Swapping
columns or rows, eliminating equal number of rows and columns and
choosing a square matrix of any order at random leads to a special properties’
singular matrix.
All example matrices were also tested using MAT LAB and found that all
were singular.