Let B = {x²+x,-2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R)

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Linear Methods

3. Let B = {x² + x, –2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R) and p(x) = x² +x – 1.
Find the representation (component vector) [p(x)]B. You might find the representation
directly or use the change of basis matrix.
Transcribed Image Text:3. Let B = {x² + x, –2x² + 3x + 3, 2x² – x – 2} be a basis of P2(R) and p(x) = x² +x – 1. Find the representation (component vector) [p(x)]B. You might find the representation directly or use the change of basis matrix.
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