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4). Find all values of a for which the given vectors form basis for R' -(:) --() ---() a? u = and w =

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

4).
Find all values of a for which the given vectors form basis for R'
u =
v =
and w =
a
1
2

Expert Solution

Step 1

A set B is said to be basis of any vector space if

(1) it is linearly independent set.

(2)B spans vector space, which means every vector of vector space is wriiten as the linear combination of vectors of B.

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