Question: 20. Let f.g, E F(R, R) be the functions defined by f(t)= ert and g(t) = est, where rs. Prove that f and g

20. Let f.g, E F(R, R) be the functions defined by f(t)=

20. Let f.g, E F(R, R) be the functions defined by f(t)= ert and g(t) = est, where rs. Prove that f and g are linearly independent in F(R, R).

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