Answered: Determine whether the given space is a…

Determine whether the given space is a subspace of R3 or not. Give all the reasons in case if it is, or not. Describe the surface of S. s- S= {[y: x,y, z ER and x2 + y² + z2 = 1}

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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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.

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Determine whether the given space is a subspace of R3 or not.
Give all the reasons in case if it is, or not. Describe the surface of S.
s-
S= {[y: x,y, z ER and x2 + y² + z2 = 1}

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