Question: Calculus Kernels The transformations in Problems 1 to 3 should be familiar from calculus. Identify each transformation and give its kernel. 1. T: P2

Calculus Kernels The transformations in Problems 1 to 3 should be familiar from calculus. Identify each transformation and give its kernel.
1. T: P2 → P2. T(at2 + bt + c) = 2at + b
2. T: P2→ P2. T(at2 bt + c) = 2a
3. T: P2 → P2. T (at2 + bt + c) = 0

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a T at 2 bt c 2at b Setting T at 2 bt c 2at b 0 Which gives a b 0 c arbitrary Hence the kernel ... View full answer

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