Define a linear transformation T : R° → R° by x + 4y T( y |) y+ z z + x Find a basis for the image of T.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Define a linear transformation T : R° → R° by
x + 4y
T( y |)
y+ z
z + x
Find a basis for the image of T.
Transcribed Image Text:Define a linear transformation T : R° → R° by x + 4y T( y |) y+ z z + x Find a basis for the image of T.
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