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Example Compute all eigenvalues of A 1 Solution 11-λ =(1-)(2-2入+4) .λ1=1λ2=1+V3iλ3=1-V3i How about for huge size? Copyright©2011,NA⊙Yin Last Modification:Oct.2011 4Example Compute all eigenvalues of A =   1 0 2 0 1 −1 −1 1 1   Solution |A − λI| =   1 − λ 0 2 0 1 − λ −1 −1 1 1 − λ   = (1 − λ)(λ 2 − 2λ + 4) ∴ λ1 = 1 λ2 = 1 + √ 3i λ3 = 1 − √ 3i How about for huge size? Copyright c 2011, NA Yin Last Modification: Oct. 2011 4
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