determine whether the members of the given set of vectors are linearly independent for −∞ < t < ∞ . If they are linearly dependent, find the linear relation among them. 11.x(1)(t)=(e−t,2e−t),x(2)(t)=(e−t,e−t),x(3)(t)=(3e−t,0)
determine whether the members of the given set of vectors are linearly independent for −∞ < t < ∞ . If they are linearly dependent, find the linear relation among them. 11.x(1)(t)=(e−t,2e−t),x(2)(t)=(e−t,e−t),x(3)(t)=(3e−t,0)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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determine whether the members of the given set of
11.x(1)(t)=(e−t,2e−t),x(2)(t)=(e−t,e−t),x(3)(t)=(3e−t,0)
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