you just need to answer question4, but some conditions are in question3, so I put both of them 4.Repeat the directions of Exercise 3 with the same vector w, butwith-3-3°1u¡ =u, =uz =-3-96u-6u :-3%3D%3D47. 3. Consider the bases B = {u,u,, u3} and B' = {u',u', u¿} forR³, where22u =u2uz = | 21311u :1u =%3D%D-532a. Find the transition matrix from B to B'.b. Compute the coordinate vector [w]B, where-5w =8-5and use (11) to compute [w]g/.c. Check your work by computing [w]B directly.

Please find the answer in next step

Answered: Repeat the directions of Exercise 3…

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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Repeat the directions of Exercise 3 with the same vector w, but with u, = uz = -2 u = u u = |-3 9- %3D -6 %3D 4 7.