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Show whether the following vectors/functions form linearly independent sets: (a) 2 – 3x, x + 2x^2...

Show whether the following vectors/functions form linearly independent sets:

(a) 2 – 3x, x + 2x^2 , – x^2 + x^3

(b) cos x, e^(–ix), 3 sin x

(c) (i, 1, 2), (3, i, –2), (–7+i, 1–i, 6+2i)

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