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span P2. P1 = 1– x – 2x2 , P2 = 3 + x, P3 = 5 – x + 4x² , P4 = -2 – 2x + 2x2

span P2. P1 = 1– x – 2x2 , P2 = 3 + x, P3 = 5 – x + 4x² , P4 = -2 – 2x + 2x2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the following polynomials span \( P_2 \). \[ p_1 = 1 - x - 2x^2, \quad p_2 = 3 + x, \quad p_3 = 5 - x + 4x^2, \quad p_4 = -2 - 2x + 2x^2 \]
Transcribed Image Text:Determine whether the following polynomials span \( P_2 \). \[ p_1 = 1 - x - 2x^2, \quad p_2 = 3 + x, \quad p_3 = 5 - x + 4x^2, \quad p_4 = -2 - 2x + 2x^2 \]
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