Further, find the basis for the space of polynomial p(x) of degree 3. Find a basis for the subspace with p(1) = 0.
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Let P3 be the vector space of all polynomials of degree 3 or less. Let ... Let B={1,x,x2,x3} be the standard basis for P3. ... We find a basis for Span(T ) among the vectors in T by the leading 1 method.
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