Introduction ●Given A∈Cmxm,find入∈R and x≠0∈Rm,so that Ax=入x →(A-I)x=0x≠0 →A-λI川=0 One approach for eigenvalue and eigenvector. Copyright©2011，NA⊙Yin Last Modification:Oct.2011 3 Introduction • Given A ∈ C n×n, find λ ∈ R and x 6= 0 ∈ R n, so that Ax = λx → (A − λI)x = 0 x 6= 0 → |A − λI| = 0 One approach for eigenvalue and eigenvector. Copyright c 2011, NAYin Last Modification: Oct. 2011 3