作者anoymouse (没有昵称)
看板Math
标题[线代] dim(W1∩W2) = dim(W1)
时间Fri Dec 30 19:09:23 2022
题目:
Let W1 and W2 be subspaces of a finite-dimensional vector space V.
Determine necessary and sufficient conditions on W1 and W2 so that
dim(W1∩W2) = dim(W1).
解答:
https://imgur.com/XL3SBrM
问题:
1.
v !∈ span(β)?
beta是W1的basis，v为什麽不属於span(β)?
2.
v !∈ span(β) and hence β∪{v}would be a independent set with size greater
than that of β.这是定理ok.
但不理解这样就结论dim(W1∩W2) = dim(W1)?
谢谢!
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