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Linear Dependence and a Dependency Equation for a Set of Polynomials

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3. Consider the sets ={2-x, 2x-x2, 6-5x+x2} in P2.
(a) Show that the set S is linearly dependent.
(b) Find a dependency equation for the polynomials of set S.

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Linear dependence and a dependency equation for a set of polynomials are investigated and discussed.

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