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OpenStudy (anonymous):
Let T:P3->R such that T(a0+a1x+a2x^2 +a3x^3)=a0+a1+a2+a3. find the basis for the kernel of T, and find the rank and nullity of T.
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OpenStudy (anonymous):
A basis of the kernel of T is 1-x, 1-x^2, 1- x^3 Rank(T)=1 and Nullity of T =3
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