mathwork6204 mathwork6204

05-06-2023
Mathematics

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Let P₂ = {ao + a₁t+ a₂t² ||ao, a1, a2 € R}. Suppose T is a map from P₂ to P₂ satisfying T: f(t) → f'(t) + t¯¹ * ƒ(s)ds. (a) Verify T is a linear transformation; (b)Suppose B = {1, t, t²} is a basis, find [T]ß.

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