1. Every square matrix can be associated to an expression or a number which is known as its  consistentdeterminantinconsistentminusnon singularskew symmetriczero.
2. A square matrix is a singular matrix if its determinant is  consistentdeterminantinconsistentminusnon singularskew symmetriczero.
3. A square matrix whose determinant is non-zero is called  consistentdeterminantinconsistentminusnon singularskew symmetriczero matrix.
4. If any two rows (columns) of a determinant are interchanged, then the value of the determinant changes by  consistentdeterminantinconsistentminusnon singularskew symmetriczero sign.
5. If any two rows (columns) of a determinant are identical, then its value is  consistentdeterminantinconsistentminusnon singularskew symmetriczero.
6. If A is a skew-symmetric matrix of odd order, then A is  consistentdeterminantinconsistentminusnon singularskew symmetriczero.
7. The determinant of a  consistentdeterminantinconsistentminusnon singularskew symmetriczero matrix of even order is a perfect square.
8. If a system of linear equations has unique solution, the system is said to be  consistentdeterminantinconsistentminusnon singularskew symmetriczero.
9. If a system of linear equations has no solution, the system is said to be  consistentdeterminantinconsistentminusnon singularskew symmetriczero.
10. If each element of a row (column) of a determinant is zero, then its value is  consistentdeterminantinconsistentminusnon singularskew symmetriczero.