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Math · Advanced Math
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Consider the function L: P_3 -> R^3 given by [L(p)](x):=(p(0),p^'(0),p^''(0)). Answer the following questions and justify your answer

1) is L injective?

2) is L surjective?

3) is L linear?

4) does L have an inverse? if yes what is it? if no why not?

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