Questlon 2Venify that P,(R) - Lax lacR.{Eqx | a, e R, with addition and scalar multiplication(a)%3Ddefined byEaxe£bx' = E(a, +b)x and ko%3D1-01-01-01-0is not a vector space over R by showing that one of the vector space axioms does nothold.

Answered: Image /qna-images/answer/91f2c2c9-c94a-43e4-9b18-dd082f6a3776.jpg

Question 2 (a) Verify that P(R) with addition and scalar multiplication %3D defined by Eaxe£bx' = {(a,+4,)x and ko ax %3D %3D 1-0 1-0 is not a vector space over R by showing that one of the vector space axioms does not hold.

Question 2 (a) Verify that P(R) with addition and scalar multiplication %3D defined by Eaxe£bx' = {(a,+4,)x and ko ax %3D %3D 1-0 1-0 is not a vector space over R by showing that one of the vector space axioms does not hold.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...

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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

Questlon 2
Venify that P,(R) - Lax lacR.
{Eqx | a, e R, with addition and scalar multiplication
(a)
%3D
defined by
Eaxe£bx' = E(a, +b)x and ko
%3D
1-0
1-0
1-0
1-0
is not a vector space over R by showing that one of the vector space axioms does not
hold.

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