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

Applied Math

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

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

(b) Give matrix reppressentaion in base vectorss B={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 or equal to 2 and f' is the derivative of polynomial f.

Expert Solution

milcah answered 1 year ago

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