Determine whether the members of the given set of vectors are linearly independent for -o < t < o. If they are linearly dependent, find a linear relation among them. x"(t) x(t) = 3et 2e 2e-t e The vectors are linearly independent. x = Choose one Choose one -2x(1) + 4x2) + x' x(3) = 0 x(1) – x(2) + 4x(3) = 0 - %3D -2x(4) + 4x(2) – x(3) x(4) – x(2) + x(3) -
Determine whether the members of the given set of vectors are linearly independent for -o < t < o. If they are linearly dependent, find a linear relation among them. x"(t) x(t) = 3et 2e 2e-t e The vectors are linearly independent. x = Choose one Choose one -2x(1) + 4x2) + x' x(3) = 0 x(1) – x(2) + 4x(3) = 0 - %3D -2x(4) + 4x(2) – x(3) x(4) – x(2) + x(3) -
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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