作者justbearcry (糯米)
看板Grad-ProbAsk
標題[理工] 線代
時間Mon Jan 13 15:45:34 2014
Suppose that V and W are finite-dimensional vector space and that U is a subspace of V. Then there exists a linear transformation T from V to W such that null(T)=U if and only if dim(U)>=dim(V) -dim(W)
這敘述是對的,可是我怎麼想都想不通怎麼導出這式子 囧
另外,矩陣可以正交對角化其實就是可以對角化,然後也會有n個相異的eigenvector
只是他的P是orthogonal 對吧?!
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→ leosnake:回答第二個問題:嚴格來說,是有n個線性獨立的eigenvectors 01/13 16:17
→ leosnake:並且這n個eigenvectors 兩兩互相垂直 01/13 16:19
→ justbearcry:了解!! 謝謝 01/13 16:41