2. Now let W be the line y = 2x in R².(a) Find a unit vector u on W.(b) Consider the linear transformation T: R² → R² that projects each vector orthogonally ontoW. Calculate the matrix for T as before.(c) Use that matrix to calculate T[4]-1(d) Draw the vector[4] the line W, and the projection T[1]-1-1

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Answered: 2. Now let W be the line y = 2x in R².…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Do part (b) only.... Plz solve it... As soon as you can..
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2. Now let W be the line y = 2x in R². (a) Find a unit vector u on W. (b) Consider the linear transformation T: R² → R² that projects each vector orthogonally onto W. Calculate the matrix for T as before. ¹[4] (c) Use that matrix to calculate T