Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 20х —ба? + 11, 5х + 3 and 9a — 3а? + 5.a. The dimension of the subspace H isb. Is {20x - 6а? + 11, 5а + 3, 9х — За? + 5} a basis for P2? choosev Be sure you can explain and justifyyour answer.c. A basis for the subspace H is{}. Enter a polynomial or a commaseparated list of polynomials.

By finding the dependency of given polynomial the solution is given as follows:

20х — 6а? + 11, 5х + 3 and 9x — За? + 5. a. The dimension of the subspace H is b. Is {20z - 6а? + 11,5х + 3, 9х — За? + 5} а basis for P2? choose v Be sure you can explain and justify your answer. c. A basis for the subspace H is { }. Enter a polynomial or a comma separated list of polynomials.

20х — 6а? + 11, 5х + 3 and 9x — За? + 5. a. The dimension of the subspace H is b. Is {20z - 6а? + 11,5х + 3, 9х — За? + 5} а basis for P2? choose v Be sure you can explain and justify your answer. c. A basis for the subspace H is { }. Enter a polynomial or a comma separated list of polynomials.

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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