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Applied Math Let T be the operator on P2 defined by the equation T(f)=f+(1+x)f' (a) Show T i...

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Basic Math

Applied Math

Let T be the operator on P2 defined by the equationT(f)=f+(1+x)f'

(a) Show T i linear operator from P2 intoP2!

(b) Give matrix reppressentaion in base vectorssB={1,x,x2}!

(c) Give a diagonal matrix representing T

(d) Give a diagonal matrix representing T

Where P2 is ppolynomials with degree less then orequal to 2 and f' is the derivative of polynomial f.

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