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Given the following set S of polynomials, find a polynomial p(x) in P4 so that SU {p(x)} spans P4 and a non-zero polynomial q(x) in P4 so that SU{q(x)} does not span P4- Use the character to indicate an exponent, e.g. 5x^2-2x+1. S=|-4x4-2x³−x²+4x−6, −6x4+4x³+3x²+7x−9, 2x4−7x³−x²-x+10, −4x4 +10x³+3x²−6x| p(x) = 0 q(x) = 0

Given the following set S of polynomials, find a polynomial p(x) in P4 so that SU {p(x)} spans P4 and a non-zero polynomial q(x) in P4 so that SU{q(x)} does not span P4- Use the character to indicate an exponent, e.g. 5x^2-2x+1. S=|-4x4-2x³−x²+4x−6, −6x4+4x³+3x²+7x−9, 2x4−7x³−x²-x+10, −4x4 +10x³+3x²−6x| p(x) = 0 q(x) = 0

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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Given the following set S of polynomials, find a polynomial p(x) in P4 so that SU {p(x)} spans P4 and a non-zero polynomial q(x) in P4 so that SU{q(x)} does not span P4. Use the '^' character to indicate an exponent, e.g. 5x^2-2x+1. S = 3 ·|-4x4-2x³−x²+4x−6, −6x²+4x³+3x²+7x−9, 2x²−7x³−x²-x+10, −4x4+10x³+3x²−6x| p(x) = 0 _q(x) = 0
Transcribed Image Text:Given the following set S of polynomials, find a polynomial p(x) in P4 so that SU {p(x)} spans P4 and a non-zero polynomial q(x) in P4 so that SU{q(x)} does not span P4. Use the '^' character to indicate an exponent, e.g. 5x^2-2x+1. S = 3 ·|-4x4-2x³−x²+4x−6, −6x²+4x³+3x²+7x−9, 2x²−7x³−x²-x+10, −4x4+10x³+3x²−6x| p(x) = 0 _q(x) = 0
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