Solve step by step in digital format pleaseDo the x³ - 2x² +1, 4x²x+3, 3x - 2y-2x³+4x² 2 polynomials span the .P3 (R) vector space?Justify your answer mathematically.

This is the question from the vector space.

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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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Solve step by step in digital format please Do the x³2x²+1, 4x² − x+3,3x-2y-2x³+4x² - 2 polynomials span the P3 (R) vector space? Justify your answer mathematically.