THEOREMS ON CHARACTERSTICS ROOTS// BSC скачать в хорошем качестве

THEOREMS ON CHARACTERSTICS ROOTS// BSC

1. If square matrix A of order n has latent roots then A has also the same latent roots 2. If A is an n x n triangular matrix then the elements of the principal diagonals are the characteristic roots of A. 3. The characteristic roots of a hermitian matrix are all real 4. The characteristic roots of a real symmetric matrix are all real. 5. The characteristic roots of skew hermition matrix are either purely imaginary or zero 6. The characteristic roots of real skew symmetric matrix are purely imaginary or zero 7. The characteristic roots of a unitary matrix are of unit modulus. The characteristic roots of an orthogonal matrix are of unit modulus .