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Find a basis for the subspace of Pn defined by V={p an element of Pn, such...

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Basic Math

Find a basis for the subspace of Pn defined by V={p an elementof Pn, such that p(1)=0}. What is the dimension of V?

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4.4 Ratings (714 Votes)
Let px anxn an1xn1a1x a0 be an arbitrary polynomial in Pn If p1 0 then we have anan1a0 0 Now let px anxn an1xn1a1x a0 and qx bnxn bn1xn1b1x b0 be 2 arbitrary polynomial in V and let k be an arbitrary    See Answer
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