9. Spectral Theorem Flashcards
1
Q
Proposition
Self-adjoint Maps
Proof
A
2
Q
Definition
Self-adjoint Maps
A
3
Q
Proposition
Matrix of Self-adjoint Map
Proof
A
4
Q
Corollary
Symmetric Matrices are Self-adjoint
A
5
Q
Proposition
Real Symmetric Matrices have Real Eigenvalues
Proof
A
6
Q
Theorem
Spectral Theorem
A
7
Q
Proposition
Eigenvectors of Distinct Eigenvalues are Orthogonal
Proof
A
8
Q
Corollary
In Self-adjoint t(v1,v2) = 0
A
