19:25Let V=R? and let (R?)* be the dual space for R?.Subtask (a).Find the basis {$1, ¢2} that is dual to the following basis of R2: {v1=(3, -2,), v2=(0, 1)}.Subtask (b).Find the basis {V1, V2} of R? that is dual to the basis {01, 02}of (R?)* defined byФ1 (х, у)-2х-Зу;ф2(х, у)-3у;

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Let V=R2 and let (R?)* be the dual space for R?. Subtask (a). Find the basis {þ1, ¢2} that is dual to the following basis of R2: {vi=(3, -2,), v2=(0, 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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Question

19:25
Let V=R? and let (R?)* be the dual space for R?.
Subtask (a).
Find the basis {$1, ¢2} that is dual to the following basis of R2: {v1=(3, -2,), v2=(0, 1)}.
Subtask (b).
Find the basis {V1, V2} of R? that is dual to the basis {01, 02}of (R?)* defined by
Ф1 (х, у)-2х-Зу;
ф2(х, у)-3у;

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