ax? + bx Let T:R3. - R° be defined by T y cy +z Which of the following choices of the parameters a, b, c, d makes T a linear transformation? a = 0, b=0, c= 0, d=1 a = 0, b=2, c= 4, d=0 a = 1, b=0, c=0, d=1 a = 0, b=1, c=0, d=1 a = 1, b=2, c= 3, d= 0

ax? + bx Let T:R3. - R° be defined by T y cy +z Which of the following choices of the parameters a, b, c, d makes T a linear transformation? a = 0, b=0, c= 0, d=1 a = 0, b=2, c= 4, d=0 a = 1, b=0, c=0, d=1 a = 0, b=1, c=0, d=1 a = 1, b=2, c= 3, d= 0

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 3EQ

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Question

ax? + bx
Let T:R3.
- R° be defined by T
y
cy +z
Which of the following choices of the parameters a, b, c, d makes T a linear transformation?
a = 0, b=0, c= 0, d=1
a = 0, b=2, c= 4, d=0
a = 1, b=0, c=0, d=1
a = 0, b=1, c=0, d=1
a = 1, b=2, c= 3, d= 0

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