Given u 0 in R n , let L = Span {u}. For y in R
Question:
Given u ≠ 0 in Rn, let L = Span {u}. For y in Rn, the reflection of y in L is the point reflL, y defined by
See the figure, which shows that reflL ŷ = projL, y and ŷ - y. Show that the mapping y ↦ reflL, y is a linear transformation.
The reflection of y in a line through the origin.
Transcribed Image Text:
refl, y = 2 proj, y - y
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To show that the mapping y reflL y is a linear transformation we need to prove that it satisfies two properties additivity and scalar multiplication Lets consider two vectors y and y in R and a scalar ...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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