13. Let u 0 -[8] = 4 and A = 14. Let u = u? spanned by the columns of A? (See the figure.) Why or why not? Where are u? 3-5 6 1 -2 2 -3 and A = 2 Is u in the plane in R³ 3 u? [58 0 1 1 3 0 of R3 spanned by the columns of A? Why or why not? Plane spanned by the columns of A 7 -1 Is u in the subset

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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14
13. Let u =
0
4
and A =
14. Let u =
u?
spanned by the columns of A? (See the figure.) Why or why
not?
Where are u?
3-5
6
1
-2
2
-3 and A =
2
u?
Is u in the plane in R³
3
5 8
0
1
7
1 -1
3 0
of R3 spanned by the columns of A? Why or why not?
Plane spanned by
the columns of A
Is u in the subset
In Ex
Justif
23.
24.
25.
26.
27.
28.
Transcribed Image Text:13. Let u = 0 4 and A = 14. Let u = u? spanned by the columns of A? (See the figure.) Why or why not? Where are u? 3-5 6 1 -2 2 -3 and A = 2 u? Is u in the plane in R³ 3 5 8 0 1 7 1 -1 3 0 of R3 spanned by the columns of A? Why or why not? Plane spanned by the columns of A Is u in the subset In Ex Justif 23. 24. 25. 26. 27. 28.
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