Let W be the subspace of P3 where Find a basis for W. W = {p(x) = P3 with p'(4) = p'(-2), p(-3) = 0, p" (1) = 0}.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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I'm currently facing difficulties solving this problem using matrix notation alone, and I'm reaching out for your support. The problem specifically demands a solution solely in matrix notation, excluding any other approaches. Could you kindly assist me by providing a comprehensive, step-by-step explanation in matrix notation, guiding me towards the final solution?

 

This has to be done using the matrix way

Let \( W \) be the subspace of \( P_3 \) where

\[ W = \{ p(x) \in P_3 \text{ with } p'(4) = p'(-2), p(-3) = 0, p''(1) = 0 \}. \]

Find a basis for \( W \).
Transcribed Image Text:Let \( W \) be the subspace of \( P_3 \) where \[ W = \{ p(x) \in P_3 \text{ with } p'(4) = p'(-2), p(-3) = 0, p''(1) = 0 \}. \] Find a basis for \( W \).
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