P_{6}) The determinant of a matrix and its transponder are equal. Example:

P_{7}By multiplying by one real number all the elements of a row in an array, the determinant of that array is multiplied by that number. Examples:

P_{8}) When we change the positions of two parallel rows, the determinant of a matrix changes signal. Example:

P_{9}) When, in a matrix, the elements above or below the main diagonal are all null, the determinant is equal to the product of the elements of that diagonal. Examples: