let a (belong to) R be fixed. Determine the dimension of the subspace W of P(n) (R) defined by w={f(belongs to) P(n) R : f(a) = 0}
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Originally Posted by mathlovet let a (belong to) R be fixed. Determine the dimension of the subspace W of P(n) (R) defined by w={f(belongs to) P(n) R : f(a) = 0} i think by you mean the set of all polynomials of degree at most n with real coefficients. define by clearly is a surjective homomorphism and thus hence: which gives us:
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