Find an example to show that the convexity of S is necessary in Exercise 25. Data From

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Find an example to show that the convexity of S is necessary in Exercise 25.


Data From Exercise 25

If c∈ R and S is a set, define cS = {cx : x ∈ S}. Let S be a convex set and suppose c > 0 and d > 0. Prove that cS + dS = .c C d/S.

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Linear Algebra And Its Applications

ISBN: 9781292351216

6th Global Edition

Authors: David Lay, Steven Lay, Judi McDonald

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