Need help checking over this question... Specifically for the null space... Is the answer there correct or should it be... x_4[-2,1,1,1,0] +x_5[-26,4,4,0,0] instead of what's listed...

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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Need help checking over this question...

Specifically for the null space...

Is the answer there correct or should it be...

x_4[-2,1,1,1,0] +x_5[-26,4,4,0,0] instead of what's listed...

130-12
A
100226
0-24-20
H
=
0
די
0-1-8
311-4-16
0
01-1-4
253-40
00000
↑ 11 X4 X5
①Row space: { [1,0,0,2,26], [0,1,0,-1,-8], [0,0,1,-1,-93
2 Column Space:
3
0
0
-2
4
2
3
11
-4
ナ
2
S
3
3) Null space:
X=2x4-26x
X = X4 ± 8x5
M
2×4-26×5
X4-875
14
-2
-26
8
14
10.
x4 = x+4x5-445
-2
-26
8
+
4
0
X
Transcribed Image Text:130-12 A 100226 0-24-20 H = 0 די 0-1-8 311-4-16 0 01-1-4 253-40 00000 ↑ 11 X4 X5 ①Row space: { [1,0,0,2,26], [0,1,0,-1,-8], [0,0,1,-1,-93 2 Column Space: 3 0 0 -2 4 2 3 11 -4 ナ 2 S 3 3) Null space: X=2x4-26x X = X4 ± 8x5 M 2×4-26×5 X4-875 14 -2 -26 8 14 10. x4 = x+4x5-445 -2 -26 8 + 4 0 X
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