A function f : X Y is linear if and only if f (1x1 + 2x2)
Question:
f (α1x1 + α2x2) = α1f(x1) + α2f(x2)
for all x1, x2 ∊ X, and α1, α2 ∊ ℜ.
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Let x 1 x 2 and 1 2 Homogeneity implies that 1 x 1 1 1 2 x 2 2 2 and ...View the full answer
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