2. Let T: R³ → R³ be the operator given by -1 1 0 -1 0 0 Determine whether T is decomposable or indecomposable. X T(v) = 1 v.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 8EQ: In Exercises 1-12, determine whether T is a linear transformation. 8. defined by
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2. Let T : R³ → R³ be the operator given by
-1 1 0
0
-1
0 0
X
T(v) =
H
1 v.
-1
Determine whether T is decomposable or indecomposable.
Transcribed Image Text:2. Let T : R³ → R³ be the operator given by -1 1 0 0 -1 0 0 X T(v) = H 1 v. -1 Determine whether T is decomposable or indecomposable.
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