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    Proof of the Linear Independence of Exponential Functions

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

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

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    https://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.

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