Question

Let T be a linear map from a vector space V to W. Prove that T(0v)=0w

Answer 1

This is pretty much by definition.

Answer 2

\(T(0_v)=T(0\cdot0_v)=0\cdot T(0_v)=0_w\)

Answer 3

THank you so much :)

Answer 4

notice where I write plain \(0\) I mean the scalar