So far as we know, no literature has dealt with
generation of a singular matrix. The main idea of
this work is to present special properties identified
for forming a singular matrix so as to use it in the
proposed research related to information security.
The singular matrix formed is subject to various
properties of determinant just to verify whether it
has violated any of the determinant properties (see
section 1.1) and basic matrix arithmetic operations
(see section 3) to see whether the resultant matrix
satisfies the special properties.
1.1 Definition of Determinant
For any square matrix of order 2, there is a
necessary and sufficient condition for invertibility.
Consider the matrix
a b
A
c d
=
The matrix A is invertible if and only if
ad - bc ¹ 0