Prove that (a) (L + M)* = L* + M* (b) (cL)* = cL* for c

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Prove that
(a) (L + M)* = L* + M*
(b) (cL)* = cL* for c ∈ R
(c) (L*)* = L
(d) (L-1)* = (L*)-1

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:04 AM

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Prove that (a) (L + M)* = L* + M* (b) (cL)* = cL* for c

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a For all u U v V we have u L Mv L Mu v Lu v Mu v u ...View the full answer

Applied Linear Algebra

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