LetPo be the subspace ofPconsisting of polynomials with onlyodd-powered terms, and the
Chapter 9, Problem 22(choose chapter or problem)
LetPo be the subspace ofPconsisting of polynomials with onlyodd-powered terms, and the zero polynomial. Define T : Po PbyT(anx2n+1 + an1x2n1 ++ a1x3 + a0x)= anxn + an1xn1 ++ a1x + a0and T(0) = 0 for the zero polynomial. Is T a linear transformation?
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