Let p 1 , p 2 p 3 be an affinely dependent set of points in R n and let f R n R m be a linear transformation Show that f(p 1 ), f(p 2 ), f(p 3 ) is affinely dependent in R m

Question: Let {p 1 , p 2 ; p 3 } be an affinely dependent set of points in R n and let f : R

Let {p₁, p₂; p₃} be an affinely dependent set of points in Rⁿ and let f : Rⁿ→ R^mbe a linear transformation. Show that {f(p₁), f(p₂), f(p₃)} is affinely dependent in R^m.

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