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3. Let T: R³ R³ be the operator given by 00 8 1 0 T(v) = -12 6 υ. Determine whether T is decomposable or indecomposable.

3. Let T: R³ R³ be the operator given by 00 8 1 0 T(v) = -12 6 υ. Determine whether T is decomposable or indecomposable.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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3. Let T: R³ R3 be the operator given by T(v) = 008 10 0 1 6 0-12 V. Determine whether T is decomposable or indecomposable. 4. Assume S is a cyclic operator on the finite-dimensional vector space U
Transcribed Image Text:3. Let T: R³ R3 be the operator given by T(v) = 008 10 0 1 6 0-12 V. Determine whether T is decomposable or indecomposable. 4. Assume S is a cyclic operator on the finite-dimensional vector space U
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