Question: (a) Determine whether the polynomials 1 (x) = x 2 3, 2 (x) = 2 x, 3 (x) = (x

(a) Determine whether the polynomials ƒ₁(x) = x² −3, ƒ₂(x) = 2 − x, ƒ₃(x) = (x − 1)², are linearly independent or linearly dependent.
(b) Do they span the vector space of all quadratic polynomials?

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a We can check if the polynomials are linearly independent by seeing if there exist constants c1 c2 ... View full answer

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