Let p = 5x + 10x + 3. Find the coordinate vector of p relative to the following basis for P2, P1 = 1, p2 = 1+x, p; = 1+x+x?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let p = 5x + 10x + 3. Find the coordinate vector ofp relative to the following basis for P2.
P1 = 1, P2 = 1 +x, p; = 1+x+x².
Transcribed Image Text:Let p = 5x + 10x + 3. Find the coordinate vector ofp relative to the following basis for P2. P1 = 1, P2 = 1 +x, p; = 1+x+x².
Consider the subset of P3
Q = {-24x2 + 16x – 24, –24x² + sx + 6, 2sx + s}
Find the two values of s for which the set Q is linearly dependent.
Transcribed Image Text:Consider the subset of P3 Q = {-24x2 + 16x – 24, –24x² + sx + 6, 2sx + s} Find the two values of s for which the set Q is linearly dependent.
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