- 1 Point Let F R R Be Defined By F X 7x 7x 3x 3 Is F A Linear Transformation A F X Y F X F Y 1 (71.97 KiB) Viewed 79 times
(1 point) Let ƒ : R → R³ be defined by ƒ(x) = (−7x, −7x, 3x + 3). Is ƒ a linear transformation? a. f(x + y) = f(x) + f(y
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(1 point) Let ƒ : R → R³ be defined by ƒ(x) = (−7x, −7x, 3x + 3). Is ƒ a linear transformation? a. f(x + y) = f(x) + f(y
(1 point) Let ƒ : R → R³ be defined by ƒ(x) = (−7x, −7x, 3x + 3). Is ƒ a linear transformation? a. f(x + y) = f(x) + f(y) = Does f(x + y) = f(x) + f(y) for all x, y E R? choose b. f(cx) = + c(f(x)) = Does f(cx) = c(f(x)) for all c, x ER? choose c. Is f a linear transformation? choose Note: In order to get credit for this problem all answers must be correct.