Explain what is wrong with the following discussion Let f(t) 1 t and g(t) 1 t 2 , and note that g(t) (1 t)f(t) Then f, g is linearly dependent because g is a multiple of f

Question: Explain what is wrong with the following discussion: Let f(t) = 1 + t and g(t) = 1 - t 2 , and note that

Explain what is wrong with the following discussion: Let f(t) = 1 + t and g(t) = 1 - t², and note that g(t) = (1 - t)f(t). Then {f, g} is linearly dependent because g is a multiple of f.

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