Answered: Consider x1 = et and x2 = v(t)et. If x1…

Consider x1 = et and x2 = v(t)et. If x1 and x2 is linearly independent, then v′(t) = 0. Is this statement true or false?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 58E: For which values of t is each set linearly independent? a S={(t,0,0),(0,1,0),(0,0,1)} b...

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Question

Consider x₁ = e^t and x₂ = v(t)e^t.
If x₁ and x₂ is linearly independent, then v′(t) = 0.

Is this statement true or false?

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