mang73 Posted April 15, 2005 Report Share Posted April 15, 2005 one more please! its under you comment in the post shown here. a question for Qfwfq (or anyone else who could answer) Quote Link to comment Share on other sites More sharing options...
mang73 Posted April 15, 2005 Author Report Share Posted April 15, 2005 Hey thanks a lot. You are a life saver. Listen, there is this Q I am trying to solve and I ahve looked into about 5 linear algebra books trying to find a similar problem so I could solve it but I can't. I am not sure if you could help me with it but here it goes: Let T: V -> W be a linear map between two vector spaces. Let w0 be an element of W and let T^ -1(w0) be the set of V whose elements are mapped to w0, i.e. T^ -1(w0) = { u element of V l T(u) = w0}. show that 1) T^ -1(w0) is a subspace of V if and only if w0 is the zero element of W. 2) T^ -1(w0) = { v0 + v l v element of Ker(T) }, where v0 is any element in T^ -1(w0). Quote Link to comment Share on other sites More sharing options...
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