Question: A function f : X Y is linear if and only if f (1x1 + 2x2) = 1f(x1) + 2f(x2) for all x1, x2

A function f : X → Y is linear if and only if
f (α1x1 + α2x2) = α1f(x1) + α2f(x2)
for all x1, x2 ∊ X, and α1, α2 ∊ ℜ.

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