Suppose S is a real symmetric matrix, H is a complex Hermitian matrix, P is a real orthogonal projection, and i is non-zero. Which of these statements are true? 1. Ito-SQ is diagonal, then Q has...

5

Extracted text: Suppose S is a real symmetric matrix, H is a complex Hermitian matrix, P is a real orthogonal projection, and i is non-zero. Which of these statements are true? 1. Ito-SQ is diagonal, then Q has orthogonal columns. True False 2. There is a matrix Q with QT HO diagonal. D 3. If i and w are eigenvectors of S is different eigenspaces, then (6, w) 0. B 4. Every eigenvalue of P is -l or 1. 5. If SE = A0, then Å ER. B 6. If Hi = d0, then |A = 1.