14. Let P₂ be the vector space of polynomials of degree ≤ 2. Let D = {1 + t, 1 − 5t, 2 + t²}. Check that D is a basis of P₂. Let p(t) = 3+2t - 1-4t² Find the coordinate vector [P]g²

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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14. Let P₂ be the vector space of polynomials of degree ≤ 2. Let D = {1 +
t, 15t, 2 + t²}. Check that D is a basis of P₂. Let
p(t) = 3+2t - 4t²
Find the coordinate vector [p]
Transcribed Image Text:14. Let P₂ be the vector space of polynomials of degree ≤ 2. Let D = {1 + t, 15t, 2 + t²}. Check that D is a basis of P₂. Let p(t) = 3+2t - 4t² Find the coordinate vector [p]
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