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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 4EQ
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