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In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2, ... are not vectors but are entries in vectors. T(x1, X2, X3, X4) = (0, x1 + x2, x2 +x3, X3 + X4)

In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2, ... are not vectors but are entries in vectors. T(x1, X2, X3, X4) = (0, x1 + x2, x2 +x3, X3 + X4)

Linear Algebra: A Modern Introduction
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 19EQ
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In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2, ... are not vectors but are entries in vectors.
Transcribed Image Text:In Exercises 17-20, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2, ... are not vectors but are entries in vectors.
T(x1, X2, X3, X4) = (0, x1 + x2, x2 +x3, X3 + X4)
Transcribed Image Text:T(x1, X2, X3, X4) = (0, x1 + x2, x2 +x3, X3 + X4)
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