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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
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

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
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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