Question: Answer Exercise 7.4.7 when L = 3D2 - 2D - 5. Exercise 7.4.7 Define L[y] = y + y. (a) Prove directly from the definition

Answer Exercise 7.4.7 when L = 3D2 - 2D - 5.
Exercise 7.4.7
Define L[y] = y" + y.
(a) Prove directly from the definition that L: C2[a, b] → C0[a, b] is a linear transformation.
(b) Determine ker L.

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