[其他] ker(F)和im(F)的組合?

[subtropical (風大雨大)]

老師說這題很難，

對這個習題完全沒有頭緒，請版大給點提示


f:=U->V g:=V->W

let m:=(Ker(g)交集Im(f))


要證明

Im(g˙f) = g(Im(f)) = Im(g|im(f))

dim(Im(g˙f)) = dim(Im(f))-m = dim(Ker(g˙f)) = dim(Ker(f))+m

let dim(V)=3, than h 屬於 End(V) and Rank(h)=2 and h˙h=0


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