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How to find an EXPLICIT basis for a vector space of polynomials? | Linear Algebra Tutorial!
Let P_4 be the vector space of polynomials (with real coefficients) of degree at most 4, and let U be the subspace of P_4 consisting of those polynomials p(x) such that the integral of p(x) from -1 to +1 is equal to 0. We explain rigorously the process for how to find a basis for U, and also explain how to extend that basis for U to a basis for ...
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