Determine whether the pair of functions given below is linearly independent or linearly dependent on the real line. 19x f(x) = 11xe¹⁹x, g(x)= |11x|e¹s Decide if the pair of functions is linearly dependent or linearly independent. 19x is not constant-valued on the entire real line. OA. The pair of functions is linearly independent because the ratio of 11x and e¹ B. The pair of functions is linearly dependent because the ratio of e19x and 11x is not constant-valued on the entire real line. C. The pair of functions is linearly independent because the ratio of 11x and 11x is not constant-valued on the entire real line. D. The pair of functions is linearly dependent because the ratio of 11x and 11x is not constant-valued on the entire real line.
Determine whether the pair of functions given below is linearly independent or linearly dependent on the real line. 19x f(x) = 11xe¹⁹x, g(x)= |11x|e¹s Decide if the pair of functions is linearly dependent or linearly independent. 19x is not constant-valued on the entire real line. OA. The pair of functions is linearly independent because the ratio of 11x and e¹ B. The pair of functions is linearly dependent because the ratio of e19x and 11x is not constant-valued on the entire real line. C. The pair of functions is linearly independent because the ratio of 11x and 11x is not constant-valued on the entire real line. D. The pair of functions is linearly dependent because the ratio of 11x and 11x is not constant-valued on the entire real line.
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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Transcribed Image Text:Determine whether the pair of functions given below is linearly independent or linearly dependent on the real line.
19x
f(x) = 11xe¹⁹x, g(x)= | 11x|e¹⁹
Decide if the pair of functions is linearly dependent or linearly independent.
19x
19x
OA. The pair of functions is linearly independent because the ratio of 11x and e¹ is not constant-valued on the entire real line.
B. The pair of functions is linearly dependent because the ratio of e¹ and 11x is not constant-valued on the entire real line.
C. The pair of functions is linearly independent because the ratio of 11x and 11x is not constant-valued on the entire real line.
D. The pair of functions is linearly dependent because the ratio of 11x and 11x is not constant-valued on the entire real line.
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