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Linear Algebra: A Modern Introduction

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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Let f : R → R be defined by f (x) = -3x2. Is f 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(cæ) =
c(f(x)) =
Does f(cx) = c(f(x)) for all c, a E R? choose
c. Is f a linear transformation? choose

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