More generally, if l is a line through the origin in R2, show that the transforma­tion Pl : R2---> R2 that projects a point onto l is a linear transformation and find its standard matrix.Prove that Pl(cv) = cPl(v) for any scalar c

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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More generally, if l is a line through the origin in R2, show that the transforma­tion Pl : R2---> R2 that projects a point onto l is a linear transformation and find its standard matrix.Prove that Pl(cv) = cPl(v) for any scalar c

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