The value of a determinant can be figured out with the help of its properties. It makes the evaluation easier so that you don't have to do as much math when solving determinants. Here are some things about determinants. Reflection Property: If the rows are turned into columns or the other way around, the value of the determinant doesn't change. All Zero Property: If all the numbers in a column or row are zero, the determinant has a value of zero. Proportionality Property: If all the numbers in two rows or columns are the same, the determinant has a value of zero. Switching Property: The sign of a determinant changes when any two rows or columns are switched. Scalar Multiple Properties: If all the parts of a determinant are multiplied by a non-zero constant, then the value of the determinant is multiplied by that constant.