Suppose T : R? → R² is a linear transformation such that 3 T and T -4 Then T is (A) (B) (C) 3/2 (D) 11 2

T If T: R³ R³ is a linear transformation such that -4 -1 0 (C)-F (D-E-F = 1 T 1 = -2 T 0 4 3 then T (1)- 5 2 = 2 -2 = -3 2 >

lf T : R³ → R³ is a linear transformation such that Го T (0) - B¹(0) -· ¹(C)-E] T = = T -2 3 0 -0-8 then T -4 = -2

Let f: R²R be defined by f((x, y)) = 8y - 4x + 1. Is ƒ a linear transformation? a. f((x1, y₁) + (x2, Y2)) (Enter x₁ as x1, etc.) f((x₁, y₁)) + f((x2, y₂)) = + Does f((x1, y₁) + (x2, 2)) = f((x₁, y₁)) + f((x2, ₂)) for all (x1, y₁), (x2, Y₂) € R²? choose b. f(c(x, y)) = c(f((x, y))) = Does f(c(x, y)) = c(f((x, y))) for all CER and all (x, y) = R²? choose c. Is f a linear transformation? choose