Consider the basis B = {({2, 1), (3, 1}} for V = R2 and let {x1, x2} be the dual basis of B.Then for an arbitrary pair (c, d) EV, the set {x1(c, d), x2(c,d)) is equal to:{(3d-c), (c-2d)}{(3d+ c), (c+ 2d)}{(2d-c), (c + 3d)}{(2d+c), (c + 3d)}{(3d+c), (2c - d)}

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Answered: Consider the basis B = {{2, 1), (3, 1}}…

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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Consider the basis B = {{2, 1), (3, 1}} for V = R² and let {x1, x2} be the dual basis of B. Then for an arbitrary pair (c, d) EV, the set {x1(c, d), x2(c, d)) is equal to: {(3d-c), (c-2d)} {(3d+ c), (c+ 2d)} {(2d-c), (c + 3d)} {(2d+c), (c + 3d)} {(3d+c), (2c - d)}