y Suppose E (A, B) is controllable. Suppose a change of basis is performed so that we obtain a new realization E'~ (T-AT,T-"B). Then E' is controllable.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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(c)
Suppose ~ (A, B) is controllable. Suppose a change of basis is performed so
that we obtain a new realization '~ (T-¹AT, T-¹B). Then ' is controllable.
Transcribed Image Text:(c) Suppose ~ (A, B) is controllable. Suppose a change of basis is performed so that we obtain a new realization '~ (T-¹AT, T-¹B). Then ' is controllable.
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