. u. ): Is the set S = {r +x-1,22 - r+3,-a+3z-2}) a base for the Pa(r) vector space which is a polynomial space with degree 2 and less than equal 2 ? If S is a base for P2, then write the polynomial q(r) = 3r +5 with the help of the base S.

. u. ): Is the set S = {r +x-1,22 - r+3,-a+3z-2}) a base for the Pa(r) vector space which is a polynomial space with degree 2 and less than equal 2 ? If S is a base for P2, then write the polynomial q(r) = 3r +5 with the help of the base S.

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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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

. u. ): Is the set S = {r +x- 1,2a2 – r+3, -a +3r – 2} a base
for the P2(r) vector space which is a polynomial space with degree 2 and less
than equal 2 ?
If S is a base for P2, then write the polynomial q(r) = 3x + 5 with the help
of the base S.

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