Let T:P(adsbygoogle = window.adsbygoogle || []).push({}); _{2}[itex]\rightarrow[/itex]P_{2}be given by

T(x-1)=1-x

T(x^{2}-2x)=-1+x-2x^{2}

T(3-x^{2})=-1+2x+3x^{2}

Find the matrix for T with respect to the standard basis B={1,x,x^{2}}for P_{2}

To be honest, I have no idea where to start. Help would be greatly appreciated

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# No idea where to start for linear transformation question from P2->P2

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