Re: [理工] [線代]-empty set
※ 引述《wolf0000 (小狼)》之銘言：
: Let V be a vector space,and W1 and W2 be two subspace of V.
: Is it possible that the intersection of W1 and W2, W1∩W2 = ψ,
: where ψ denotes the empty set.
: 解答是說因為W1跟W2為向量子空間，所以零向量都包含在W1跟W2裡，
: 所以零向量屬於W1跟W2的交集， 故W1∩W2 = ψ不可能成立。
: 前面的觀念我都懂...但是empty set它裡面的元素不就是零嗎?
No... empty set is just empty,there `s nothing.
But zero element means the identity
such like 0 for addition,1 for multiplication.
So,two of the W1 and W2 have zero element if they are subspace of V.
W1∩W2 != ψ
: 為什麼有零向量不是empty set??? 這邊觀念有點模擬~"~
: 肯請高手解惑! 感謝:)
ps. span(ψ)={0}
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