- It is easy to build matrices and from eigenvectors.
- Since
we see that if we were to identify
**e**_{l}with vertical columns of zeros with ones corresponding to*l*, then would be made of coefficients of**e**_{l'}in that basis, that is the first column of would be**e**_{1'}, the second column of would be**e**_{2'}and so on. If**F**is normal, then and is simply a transpose of , that is, its first row is a transposed , its second row is a transposed , and so on.