The given vectors are solutions of a system X'= AX. Determine whether the vectors form a fundamental set on the interval (-o, 0). 1 , X2 X1 6. -2 -4t 3. e3t -1 -2 O No, since W (X1, X2, X3) = 0, the set X1, X2, X3 is not linearly independent on the interval (-0 ). O Yes, since W (X1, X2, X3) = -84e t0, the set X1, X2, X3 is linearly independent on the interval (-0 0).
The given vectors are solutions of a system X'= AX. Determine whether the vectors form a fundamental set on the interval (-o, 0). 1 , X2 X1 6. -2 -4t 3. e3t -1 -2 O No, since W (X1, X2, X3) = 0, the set X1, X2, X3 is not linearly independent on the interval (-0 ). O Yes, since W (X1, X2, X3) = -84e t0, the set X1, X2, X3 is linearly independent on the interval (-0 0).
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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3) Please help with following multiple choice ASAP
Transcribed Image Text:The given vectors are solutions of a system X'= AX. Determine whether the vectors form a
fundamental set on the interval (-0, 0).
1
()-
X1
, X2 =
2
4t, X3
3
e3t
%3D
-13
1
O No, since W (X1, X2, X3) = 0, the set X1, X2, X3 is not linearly independent on the
interval (-0 0).
O Yes, since W (X1, X2, X3) = -84et# 0, the set X1, X2, X3 is linearly independent
on the interval (-0 0).
%3D
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