singular
1 Singular
An matrix with entries from a field is called singular if its rows or columns are linearly dependent. This is equivalent
to the following conditions:
- 1.
The nullity
of is greater than zero ( ).
- 2.
The homogeneous
linear system has a non-trivial solution.
If = this is equivalent to the following conditions:
- 1.
The determinant
.
- 2.
The rank of is less than .