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Which of the following statements are true? Statement A: The set of functions {e-2t, e²t} is linearly independent on R. Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on (0,2π). Statement C: The set of functions {t², e²t} is linearly dependent on R. A only A and C only A, B and C A and B only

Which of the following statements are true? Statement A: The set of functions {e-2t, e²t} is linearly independent on R. Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on (0,2π). Statement C: The set of functions {t², e²t} is linearly dependent on R. A only A and C only A, B and C A and B only

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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Which of the following statements are true? Statement A: The set of functions {e-2t, e²t} is linearly independent on R. Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on (0,2π). Statement C: The set of functions {t², e²t} is linearly dependent on R. A only A and C only A, B and C A and B only
Transcribed Image Text:Which of the following statements are true? Statement A: The set of functions {e-2t, e²t} is linearly independent on R. Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on (0,2π). Statement C: The set of functions {t², e²t} is linearly dependent on R. A only A and C only A, B and C A and B only
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