Let f : R → R* be defined by f(x) = (–9x, –9x, –6x – 4). Is f a linear transformation? a. f(x+ y) = f(r) + f(y) = Does f(x+ y) = f(x)+f(y) for all x, Y E R? choose %3D b. f(cz) = c(f(z)) = Does f(cz) = c(f(x)) for all c, æ E R? choose c. Is fa linear transformation? choose
Let f : R → R* be defined by f(x) = (–9x, –9x, –6x – 4). Is f a linear transformation? a. f(x+ y) = f(r) + f(y) = Does f(x+ y) = f(x)+f(y) for all x, Y E R? choose %3D b. f(cz) = c(f(z)) = Does f(cz) = c(f(x)) for all c, æ E R? choose c. Is fa linear transformation? choose
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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Transcribed Image Text:Let f : R → R³ be defined by f(x) =(-9x, –9x, –6x – 4). Is fa linear transformation?
a. f(x+ y) =
f(x) + f(y)
Does f(x + y) = f(x)+ f(y) for all a, y E R? choose
b. f(cz) =
c(f(x)) =
%3D
Does f(cz) = c(f(x)) for all c, x E R? choose
c. Is fa linear transformation? choose
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