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Let f: R → R³ be defined by T() = (-7x, 4x, 7x 9). Determine if T is a linear transformation. Enter your vector answers using x, y and angle brackets "<, >". a. T(x + y) = T(x) +T(y) = Does T(x + y) = T(x) +T(y) for all x, y € R? choose b. T(cx) = + c(T(x)) = Does T(cx) = c(T(x)) for all c, x R? choose

Let f: R → R³ be defined by T() = (-7x, 4x, 7x 9). Determine if T is a linear transformation. Enter your vector answers using x, y and angle brackets "<, >". a. T(x + y) = T(x) +T(y) = Does T(x + y) = T(x) +T(y) for all x, y € R? choose b. T(cx) = + c(T(x)) = Does T(cx) = c(T(x)) for all c, x R? choose

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f: R → R³ be defined by T() = (-7x, 4x, 7x - 9). Determine if I' is a linear transformation. Enter your vector answers using x, y and angle brackets "<, >". a. T(x + y) = T(x) +T(y) = Does T(x + y) = T(x) +T(y) for all x, y = R? choose b. T(cx) = c(T(x)) = + Does T(cx) = c(T(x)) for all c, x € R? choose c. Is T a linear transformation? choose
Transcribed Image Text:Let f: R → R³ be defined by T() = (-7x, 4x, 7x - 9). Determine if I' is a linear transformation. Enter your vector answers using x, y and angle brackets "<, >". a. T(x + y) = T(x) +T(y) = Does T(x + y) = T(x) +T(y) for all x, y = R? choose b. T(cx) = c(T(x)) = + Does T(cx) = c(T(x)) for all c, x € R? choose c. Is T a linear transformation? choose
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