Question 29 Let Py have the inner product given by evaluation at -3, -1, 1 and 3. Suppose that po (t) = 1, p₁ (t) = t, and p2 (t) = t². Find the orthogonal projection of p2 (t) = t² onto subspace spanned by po (t) = 1, p1 (t) = t. O-St 05 0 St 0-5 052

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Chapter2: Second-order Linear Odes
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Question 29
Let P, have the inner product given by evaluation at -3,-1, 1 and 3. Suppose that po (t) = 1, p₁ (t) = t, and p2 (t) = t².
Find the orthogonal projection of p2 (t) = t2 onto subspace spanned by po (t) = 1, p1 (t) = t.
O-St
05
O St
0-5
05²
Transcribed Image Text:Question 29 Let P, have the inner product given by evaluation at -3,-1, 1 and 3. Suppose that po (t) = 1, p₁ (t) = t, and p2 (t) = t². Find the orthogonal projection of p2 (t) = t2 onto subspace spanned by po (t) = 1, p1 (t) = t. O-St 05 O St 0-5 05²
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