Class 26

Unitary Diagonalization of Hermitian Matrices, Section 7.1 cont...

• examples of orthogonal diagonalization of real symmetric matrices.
• Theorems for A Hermitian, n by n:
  • all eigenvalues are real
  • eigenvectors corresponding to distinct eigenvalues are mutually orthogonal
  • Spectral Decomposition Theorem (as sum of weighted orthogonal projection matrices)