Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 31, g(x) = 3sinx, h(x) = 6cos?x Enter the non-trivial linear combin ation. (18)(31) + (O (3 sin²x) + (O (6 cos?x) =0

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes
identically.
f(x) = 31, g(x) = 3sin?x, h(x) = 6cosx
Enter the non-trivial linear combin ation.
2
(18)(31) + (O (3 sin x) + (D (6 cos ?x) = 0
Transcribed Image Text:Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 31, g(x) = 3sin?x, h(x) = 6cosx Enter the non-trivial linear combin ation. 2 (18)(31) + (O (3 sin x) + (D (6 cos ?x) = 0
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