For the line e represented by the equation x - 2y = 0, find a vector v parallel to e, and a vector w perpendicular to l. Make your vectors v and w simple so that your computations are not overly complicated. Determine the matrix Aʊ for the projection onto l with respect to the ordered basis U = {v, w}. Finally use the appropriate transition matrices to compute the standard matrix representation A of the projection onto l with respect to the standard basis. Use the standard matrix representation to find the reflections of the points (2, 1), (−1, 2), and (5, 0) with respect to l.

For the line e represented by the equation x - 2y = 0, find a vector v parallel to e, and a vector w perpendicular to l. Make your vectors v and w simple so that your computations are not overly complicated. Determine the matrix Aʊ for the projection onto l with respect to the ordered basis U = {v, w}. Finally use the appropriate transition matrices to compute the standard matrix representation A of the projection onto l with respect to the standard basis. Use the standard matrix representation to find the reflections of the points (2, 1), (−1, 2), and (5, 0) with respect to l.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 11CM

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