In Problems 17, 18, 19, and 20 the given vectors are solutions of a system X' = AX. Determine whether the vectors form a fundamental set on the interval (-00, 00). 17. X₁ = Answer Yes e-21, X2 = -6t W(X1, X2)=-2e-8 0 implies that X1 and X2 are linearly independent on (-00, 00). 8 18. X₁ X₂ = e + te C 30 MacBook Pro Q Search Web % 96 95 $4 E R ☆ + 7 29 & 8* T Y U 61 ) + 9 0 = O D F G H J K L C > B N M V Pe P 1 > ? .

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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8.1 I only need number 18
In Problems 17, 18, 19, and 20 the given vectors are solutions of a system X' = AX. Determine whether the
vectors form a fundamental set on the interval (-00, 00).
17. X₁ =
Answer
Yes
e-21, X2 =
-6t
W(X1, X2)=-2e-8 0 implies that X1 and X2 are linearly independent on (-00, 00).
8
18. X₁
X₂ =
e +
te
C
30
MacBook Pro
Q Search Web
%
96
95
$4
E
R
☆
+
7
29
&
8*
T
Y
U
61
)
+
9
0
=
O
D
F
G H
J
K
L
C
>
B
N
M
V
Pe
P
1
>
?
.
Transcribed Image Text:In Problems 17, 18, 19, and 20 the given vectors are solutions of a system X' = AX. Determine whether the vectors form a fundamental set on the interval (-00, 00). 17. X₁ = Answer Yes e-21, X2 = -6t W(X1, X2)=-2e-8 0 implies that X1 and X2 are linearly independent on (-00, 00). 8 18. X₁ X₂ = e + te C 30 MacBook Pro Q Search Web % 96 95 $4 E R ☆ + 7 29 & 8* T Y U 61 ) + 9 0 = O D F G H J K L C > B N M V Pe P 1 > ? .
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