Let f : R² → R be defined by f((x, y)) = 8x+2y + 2. Is ƒ a linear transformation? a. f((x₁, y₁) + (x2, Y2)): b. f(c(x, y)) = f((x1, y₁)) + f((x2, 2)) + Does f((x1, y₁) + (x2, Y2)) = ƒ((x₁, y₁)) + f((x2, y₂)) for all (x₁, y₁), (X2, Y2) € R²? choose = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c = R and all (x, y) = R²? choose . (Enter ₁ as x1, etc.) c. Is f a linear transformation? choose >
Let f : R² → R be defined by f((x, y)) = 8x+2y + 2. Is ƒ a linear transformation? a. f((x₁, y₁) + (x2, Y2)): b. f(c(x, y)) = f((x1, y₁)) + f((x2, 2)) + Does f((x1, y₁) + (x2, Y2)) = ƒ((x₁, y₁)) + f((x2, y₂)) for all (x₁, y₁), (X2, Y2) € R²? choose = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all c = R and all (x, y) = R²? choose . (Enter ₁ as x1, etc.) c. Is f a linear transformation? choose >
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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