Which of the following sets are linearly dependent in (-co, co)? S1 = (x, sin x, cos x} S2 = (sin 2x, 5 cos x sin x, 1} %3D %3D Sz- (1,x,x²,x² - 2x)} S = (e", 3e*) O A. S3, S4 O B. S2, S3 OC.S1, S, O D. S3 O E. S2 %3D
Which of the following sets are linearly dependent in (-co, co)? S1 = (x, sin x, cos x} S2 = (sin 2x, 5 cos x sin x, 1} %3D %3D Sz- (1,x,x²,x² - 2x)} S = (e", 3e*) O A. S3, S4 O B. S2, S3 OC.S1, S, O D. S3 O E. S2 %3D
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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Question
![Which of the following sets are linearly dependent in -co, co)?
S1 = (x, sin x, cos x}
S2 = (sin 2x, 5 cos x sin x, 1}
%D
%3D
Sz - (1,x, x², x² – 2x)
S = (e", 3e *}
O A. S3, S,
O B. S2, S3
%3D
OC.S, S4
O D. S3
O E. S,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6635afbe-c961-4efb-85ea-5ca9bf19f420%2F425324de-877c-417d-a3ea-2a417fdd156c%2Flkktly4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following sets are linearly dependent in -co, co)?
S1 = (x, sin x, cos x}
S2 = (sin 2x, 5 cos x sin x, 1}
%D
%3D
Sz - (1,x, x², x² – 2x)
S = (e", 3e *}
O A. S3, S,
O B. S2, S3
%3D
OC.S, S4
O D. S3
O E. S,
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