[理工] 线代 eigenvalue eigenvector

楼主: AdonisLam (Adonis)   2019-12-18 14:35:21
参考附图5-177
请问X为什么是nonsingular?
http://i.imgur.com/Adr6x4f.jpg
作者: mi981027 (呱呱竹)   2019-12-18 14:48:00
full column rank -> 行独立 ->设c1*a1 + ... + cn*an = 0 则 c1 = ... = cn = 0表示Ax = 0只有0解 -> A is nonsingular
楼主: AdonisLam (Adonis)   2019-12-18 21:31:00
了解 我以为只有方阵才可称为非奇异
作者: Ricestone (麦饭石)   2019-12-18 22:12:00
实际上不需要说那是nonsingular,其实只有这书这样用这书的nonsingular的意思其实就是full column rank或者说是ker(A)={0},或nullity(A)=0

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