Mathematics, 27.08.2021 18:10 mathman783

Suppose vectors v1 ,... vp span Rn, and let T: Rn -> Rn be a linear transformation. Suppose T(vi) = 0 for i =1, ..., p. Show that T is a zero transformation. That is, show that if x is any vector in Rn, then T(x) = 0.

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Suppose vectors v1 ,... vp span Rn, and let T: Rn -> Rn be a linear transformation. Suppose T(vi)...