Let ƒ : R² → R be defined by ƒ((x, y)) = 2x + 5y + 3. Is ƒ a linear transformation? a. f((x1, y₁) + (x2, y₂)) = 10 f((x₁, y₁)) +ƒ((x2, Y2)) = . (Enter x₁ as x1, etc.) = 8 + 5 Does f((x₁, y₁) + (x2, y2)) = f((x1, y₁)) +ƒ((x2, y2)) for all (x₁, y₁), (x2, y2) E R²? No, they are not equal b. f(c(x, y)) = 13 c(f((x, y))) = 2 8 Does ƒ(c(x, y)) = c(fƒ((x, y))) for all c E R and all (x, y) = R²? No, they are not equal c. Is ƒ a linear transformation? f is not a linear transformation

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