0 1 0 S = {(1 3)·(¦¯¯^¹)· (² ¦ ). ( -º2³)} 03 4 0 23 2 is independent or not and if it is not, select a basis from it for Span(S). Use methods from section 3.3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
3. Decide if
S
2
0
4
1 0
0
-
=
{(1 ³)· (;_*)· (² :)· ( -º2 3)}
0
3
4 0
2
3
is independent or not and if it is not, select a basis
from it for Span(S). Use methods from section
3.3.
Transcribed Image Text:3. Decide if S 2 0 4 1 0 0 - = {(1 ³)· (;_*)· (² :)· ( -º2 3)} 0 3 4 0 2 3 is independent or not and if it is not, select a basis from it for Span(S). Use methods from section 3.3.
Expert Solution
Step 1

Recall the definition of linear independence i.e non-zero span of vectors must be non-zero.

If a vector can be written as combination of others then that vector can be removed from spanning set

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