Problem 1. (1 point) Suppose f: R² → R² is a function and ƒ(a) = b for n = 1, 2, 3. a. Does a3 = a₁ + a₂? choose ▪ f(a₁

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Problem 1 1 Point Suppose F R R Is A Function And F A B For N 1 2 3 A Does A3 A A Choose F A 1 (105.75 KiB) Viewed 28 times

Problem 1. (1 point) Suppose f: R² → R² is a function and ƒ(a) = b for n = 1, 2, 3. a. Does a3 = a₁ + a₂? choose ▪ f(a₁ + a₂) = ▪ ƒ(a₁) + f(a₂) = The function 4 3 2 1 Note: You can earn parti a2 -4-3-2-1 y 23 a1 1 2 3 4 Domain X 4 3 2 1 -1 Does f(a3) = f(a₁) + f(a₂)? choose ✓ choose is definitely a linear transformation may or may not be a linear transformation cannot be a linear transformation -4-3-2-1 y b1 b. Answer the following questions to determine whether f is a linear transformation. Enter your answers as coordinate vectors of the form <1,2>. b2 Codomain b3 1 2 3 4 X Be sure you can explain your answer. preview answ