Which of the following statements are true? Statement A: The set of functions {e-#,e2t} is linearly independent on R. Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on (0, 27). Statement C: The set of functions {t², e²t} is linearly dependent on R. A only A and B only A and c only All

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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03
Which of the following statements are true?
-2t
Statement A: The set of functions {e=# ,e2t} is linearly independent on R.
Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on
(0, 27).
Statement C: The set of functions {t²,e2t} is linearly dependent on R.
A only
A and B only
A and c only
All
O O O
Transcribed Image Text:03 Which of the following statements are true? -2t Statement A: The set of functions {e=# ,e2t} is linearly independent on R. Statement B: The set of functions {2 sin(t), cos(t)} is linearly independent on (0, 27). Statement C: The set of functions {t²,e2t} is linearly dependent on R. A only A and B only A and c only All O O O
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