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that det S E

that det S E

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let V and W be normed spaces and S: V → W be a surjective isometry. Show that S is affine. In case that V = W = R" show that det SE {-1,1}.
Transcribed Image Text:Let V and W be normed spaces and S: V → W be a surjective isometry. Show that S is affine. In case that V = W = R" show that det SE {-1,1}.
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