Relationship between eigenvalues of BA and AB
Channel: nptelhrd
Date: 2021-06-02

Relationship between eigenvalues of BA and AB


"Part 1.
a) Theorem and proof of BA and AB having same eigenvalues counting multiplicities 
b) Relation between eigen values of A, A^T, A^H
Part 2. 
a) Eigenspace
b) Geometric multiplicity and algebraic multiplicity 
c) Defective and non defective matrice
d) Left eigenvectors
e) Principle of biorthogonality
f) Relationship between eigenvectors of similar matrices