f two rows of any square matrix are identical, then the value of determinant is:2−11

Understanding the Properties of Determinants

When considering the properties of determinants, one important aspect to note is that if two rows (or columns) of a square matrix are identical, the determinant of that matrix is zero.

Summary of the Concept

1. Identical Rows Implication: If two rows of a matrix are identical, it indicates that the matrix does not have full rank. This is because having identical rows means that one of the rows can be expressed as a linear combination of others, resulting in linear dependence among the rows.

2. Determinant Value: A square matrix with linearly dependent rows has a determinant of zero.

Final Answer

Thus, if two rows of any square matrix are identical, the value of the determinant is $\textbf{0}$.