3. Let P2(R) be a vector space (over the field of real numbers) of polynomials p (t) of the degree not exceeding 2 with real-valued coefficients. Give an example of a basis of P2 (R). Find out if the following set of polynomials {2t? +t+ 1, –3t²+ 2t + 1, –9t² – t – 2} is a basis of P2 (R).

3. Let P2(R) be a vector space (over the field of real numbers) of polynomials p (t) of the degree not exceeding 2 with real-valued coefficients. Give an example of a basis of P2 (R). Find out if the following set of polynomials {2t? +t+ 1, –3t²+ 2t + 1, –9t² – t – 2} is a basis of P2 (R).

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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