Complex sentence: Complex eigenvalues and eigenvectors generate solutions in the form of sines and cosines as well as exponentials, and one of the simplicities in this situation is that only one of the eigenvalues and one of the eigenvectors is needed to generate the full solution set for the system.
Split into simpler sentences: Complex eigenvalues and eigenvectors generate solutions in the form of sines and cosines as well as exponentials. One of the simplicities in this situation is that only one of the eigenvalues and one of the eigenvectors is needed to generate the full solution set for the system.