NAVIGATION
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Definition (Image)
Given the Linear Map T∈L(V,W)T\in\mathscr{L}(V,W)T∈L(V,W), we define the image of TTT to beIm(T)={w∈W∣w=T(v) for some v∈V}Im(T)=\{w\in W|w=T(v) \text{ for some }v\in V \}Im(T)={w∈W∣w=T(v) for some v∈V}
Remark
The image is the set of the elements in the output set that the input set maps to (i.e. everything the linear map touches or outputs).
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