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標題: [學科討論] 求救LINEAR ALGEBRA (Vector Space) [打印本頁]

作者: CHUNLEUNG    時間: 2017-11-8 08:54 AM     標題: 求救LINEAR ALGEBRA (Vector Space)

Given v1 and v2 in a vector space V, let H=Span{v1,v2}. Show that H is a subspace of V
method 1:   0=0v1+0v2
u=s1v1+s2v2  and  w=t1v1+t2v2
u+w=(s1+t1)v1+(s2+t2)v2
cu=c(s1v1+s2v2)=(cs1)v1+(cs2)v2
呢個係書GA 做法
以下係我GA做法   
let v1=<u1,u2>   v2=<w1,w2>
0=0u1+0u2     0=0v1+0v2   contains zero vector
v1+v2=<u1+w2,u2+w2>=<w1+u1,w2+u2>=v2+v1  addition
cv1=<cu1,cu2>    scalar multiplication
so, H is a subspace of V
想問我GA做法有沒錯同其實SCALAR 我洗唔洗做埋cv2




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