. Determine whether the mapping T : R → R³ defined by X1 2x1 + 3x4 – 1 X2 T x2 + 5x3 X3 X4 is a linear transformation. Explain your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 9EQ
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2. Determine whether the mapping T : R4 → R³ defined by
X1
2.x1 + 3x4 – 1
X2
T
x2 + 5x3
X3
X4
is a linear transformation. Explain your answer.
Transcribed Image Text:2. Determine whether the mapping T : R4 → R³ defined by X1 2.x1 + 3x4 – 1 X2 T x2 + 5x3 X3 X4 is a linear transformation. Explain your answer.
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