Find a basis of the kernelKer(T)and a basis of the range Ran(T) of T Consider the linear transformationdefined byA =3T: R¹ R³T(x) = Ax, where-4 -8 16 -51-1-24-3-3-6 12 -4

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Consider the linear transformation defined by A = 3 T:R¹ → R³ T(x) = Ax, where -4 -8 16 -51 -1 -2 4 -3 -3 -6 12 -4

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Question

Find a basis of the kernel

Ker(T)

and a basis of the range

Ran(T) of T

Consider the linear transformation
defined by
A =
3
T: R¹ R³
T(x) = Ax, where
-4 -8 16 -51
-1
-2
4
-3
-3
-6 12 -4

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