2013-01-12

解eigenvalue

請問助教
像這樣的行列是怎麼移向球出eigenvalue呢?

2 則留言:

線代離散助教(wynne) 提到...

我會對中間那一列展開
這樣展開二階就都是三角矩陣, 可得 det(A-xI) =
4x - x(1-x)(2-x) - 4(2-x)
= 8(x-1) - x(1-x)(2-x)
= (x-1)(8 - x(x-2))
= -(x-1)(x^2 - 2x - 8)
= -(x-1)(x-4)(x+2)

James Whatt 提到...

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