# Proof of the Linear Independence of Exponential Functions

Not what you're looking for? Search our solutions OR ask your own Custom question.

Let a_1, ..., a_n be distinct real numbers. Prove that the functions

U_i(x) = exp (a_i x) are independent.

Â© BrainMass Inc. brainmass.com October 6, 2022, 9:13 am ad1c9bdddfhttps://brainmass.com/math/linear-algebra/proof-linear-independence-exponential-functions-43665

#### Solution Summary

A proof of the linear independence of exponential functions is provided The solution is detailed and well presented.

$2.49