Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) M2x2 is a vector space which matrices size is 2 x 2. Determine whether is T a linear transformation or not. 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 43EQ
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Given transformation T: R³ → M2x2 which is defined as
T(x, y, z)=(x +
y )
1
M2x2 is a vector space which matrices size is 2 x 2. Determine whether is T a linear
transformation or not.
Transcribed Image Text:Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) 1 M2x2 is a vector space which matrices size is 2 x 2. Determine whether is T a linear transformation or not.
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