The set of polynomials s a basis for P₂. Find the coordinate vector of elative to B. [p(t)]s = B = {3-4t,t−3+t²,− (7+7t+5t²)} p(t) = −3+(-2)t + 3t² To solve this problem, you will at some point end up solving a system of linear equations; feel free to do that with a computer (e.g., in Cocalc).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The set of polynomials
s a basis for IP2. Find the coordinate vector of
elative to B.
[p(t)]B =
B = {3-4t,t−3+t²,− (7+7t+5t²)}
p(t) = −3+(-2)t + 3t²
in Cocalc).
To solve this problem, you will at some point end up solving a system of linear equations; feel free to do that with a computer (e.g.,
Transcribed Image Text:The set of polynomials s a basis for IP2. Find the coordinate vector of elative to B. [p(t)]B = B = {3-4t,t−3+t²,− (7+7t+5t²)} p(t) = −3+(-2)t + 3t² in Cocalc). To solve this problem, you will at some point end up solving a system of linear equations; feel free to do that with a computer (e.g.,
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