Talk:Square root of a matrix

The description on calculating the square root of a diagonizable matrix could be improved.

Currently is takes the matrix of eigenvectors as a given, then takes steps to calculate the eigenvalues from this. It is a very rare situation to have eigenvectors before you have eigenvalues. They are often calculated simultaneously or for small matrices the eigenvalues are found first, by finding the roots of the charactetristic polynomial.

I realize it is easier to describe to step from eigenvectors to eigenvalues in matrix-notation tah the other way around, but the description should decide whether it wants to be a recipe or a theorem. If it's a recipe, it should have practical input and if its a theorem, the eigenvalues should be given alongside the eigenvectors.