Are the functions f, g, and h given below linearly independent? f(x) = e", g(x) = xe h(x) = x²e3". If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e3z) + (xe**) + (x2e3) = 0. help (numbers)
Are the functions f, g, and h given below linearly independent? f(x) = e", g(x) = xe h(x) = x²e3". If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e3z) + (xe**) + (x2e3) = 0. help (numbers)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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