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) = ². Find the orthogonal projection of pa (t) = t² onto subspace spanned by po(t) = 1, p1 (t) = t. 05 O-St

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Chapter2: Second-order Linear Odes
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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) = ².
Find the orthogonal projection of pa(t) t² onto subspace spanned by po(t) = 1, p₁ (t) = t.
05
Ose²
O-St
0-5
0 St
Transcribed Image Text: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) = ². Find the orthogonal projection of pa(t) t² onto subspace spanned by po(t) = 1, p₁ (t) = t. 05 Ose² O-St 0-5 0 St
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