5. (10%) Show that $$e^x,e^{-x}$$, $$e^{2x}$$ are linearly independent in C[0,1] where C[0,1] is the set of continuous functions defined on [0,1].
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5. (10%) Show that $$e^x,e^{-x}$$, $$e^{2x}$$ are linearly independent in C[0,1] where C[0,1] is the set of continuous functions defined on [0,1].