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)} O {(3d+ c), (c+ 2d)} {(2d-c), (c + 3d)} O {(2d+c), (c + 3d)} {(3d+c), (2c - d)}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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)}
Transcribed Image Text: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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