Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 6 - Orthogonality and Least Squares - 6.2 Exercises - Page 347: 34

Answer

See solution

Work Step by Step

In problem 33, we proved that the mapping $x->proj_Lx$ is a linear transformation. Let c and d be scalars and x and y be vectors. $refl_L(cx+dy)=2\ proj_L(cx+dy)-(cx+dy)=c(2proj_Lx-x)+d(2proj_Ly-y)=c\ refl_Lx+d\ refl_Ly$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions