(e) Explain that Sį is a basis for R3 and that S2 is not. (f) Determine the coordinates of X1 U = and x = X2 X3 with respect to the basis S1.

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
3.5 Let S1 and S2 be given by
900
1
-2
6.
S1
-3
4
2
; S2
3
4
-3
2
7
-6
Transcribed Image Text:3.5 Let S1 and S2 be given by 900 1 -2 6. S1 -3 4 2 ; S2 3 4 -3 2 7 -6
(e) Explain that Si is a basis for R3 and that S2 is not.
(f) Determine the coordinates of
X1
u =
and x =
X2
X3
with respect to the basis Sı.
Transcribed Image Text:(e) Explain that Si is a basis for R3 and that S2 is not. (f) Determine the coordinates of X1 u = and x = X2 X3 with respect to the basis Sı.
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