[理工] 一些線代的觀念
1.
Let T be a linear operator on V.If ||T(x)|| = ||x||,then T is 1-1.
Let T be a linear operator on V.If ||T(x)|| = ||x||,then T is onto.
上面兩句都是對的
1-1我可以理解
那為何T是1-1就能保證T是onto呢？
腦筋轉不過來Orz
2.
Let S1 and S2 be subsets of R^n and S1┴ = S2┴,then S1 = S2.
請問這個為什麼錯呢？
3.
大家算eigenvalue都是慢慢代det(A-xI)=0嗎
還是有更快的技巧呢？
因為上次算到成大104的一題SVD
光是解特徵根我就快崩潰了Orz
謝謝大家~
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