Property 1 ( Transpose ) The value of determinant remains unchanged if its rows and columns are interchanged .
Property 2 If any two rows ( or columns ) of a determinant are interchanged , then sign of determinant changes .
Property 3 If any two rows ( or columns ) of a determinant are identical ( all corresponding elements are same ), then value of determinant is zero
Property 4 If each element of a row ( or a column ) of a determinant is multiplied by a constant k , then its value gets multiplied by k .