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Consider the vector space of polynomials of degree at most 2. Which set of polyn...

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Consider the vector space of polynomials of degree at most 2. Which set of polynomials is linearly independent?

{x, x^2, 2x - 3x^2}

{1, x, x^2}

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{1, 1 + x, 1 + x + x^2, x^2}

{1 + x, 2 + 2x, x^2}

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