[理工] [線代]-orthogonal 證明..

[bernachom (Terry)]

請教一下

consider a symmetric matrix A. If x1 and x2 are eigenvalue of A that

correspond to distinct eigenvalue, prove that x1 is orghogonal to x2.


感覺不難...可是一直卡住..

麻煩幫忙一下了，謝謝

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推 caoge:AX1=λ1X1...(1) AX2=λ2X2 把(1)取轉置在成X2 因為λ1=/λ2
→ caoge:就可推出X1⊥X2囉
→ bernachom:謝謝嚕^^