Let L: P2 → P2 be the linear transformation defined by L(at? + bt + c) = (a + 2b)t + (b + c). (a) Find a basis for ker L. (b) Find a basis for range L.

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Chapter2: Second-order Linear Odes
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Let L: P2 → P2 be the linear transformation defined by
L(at? + bt + c) = (a + 2b)t + (b + c).
(a) Find a basis for ker L.
(b) Find a basis for range L.
Transcribed Image Text:Let L: P2 → P2 be the linear transformation defined by L(at? + bt + c) = (a + 2b)t + (b + c). (a) Find a basis for ker L. (b) Find a basis for range L.
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