Let T : V -> W and S : W -> U be linear maps. Prove that ST is the zero map if and
only if Range T is the subset of Null S. (ST is the zero map means (ST)v = 0 for all v in V ).
Null Space
2013-07-16 1:42 pm
回答 (1)
2013-07-17 4:05 am
✔ 最佳答案
IF part:
Range T⊂Null S=>if w∈Range T then Sw=0
Since Tv∈Range T ∴S∘Tv=0
ONLY IF part:
S∘Tv=0=>Tv∈Null S=>Range T⊂Null S
收錄日期: 2021-04-23 23:25:57
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https://hk.answers.yahoo.com/question/index?qid=20130716000051KK00033