Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question
Let u be some nonzero vector in R", L Span(u), and T(x) proj,(x) a) Prove that T is a linear transformation b) For any z E L, what is T(z)? Explain e) If A is the standard matrix for T, what does the result of part (b) tell us about the eigenvalues, eigenvectons, and/or eigenspaces of A?
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Transcribed Image Text:Let u be some nonzero vector in R", L Span(u), and T(x) proj,(x) a) Prove that T is a linear transformation b) For any z E L, what is T(z)? Explain e) If A is the standard matrix for T, what does the result of part (b) tell us about the eigenvalues, eigenvectons, and/or eigenspaces of A?
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