Answered: let V is vector space and W is sub set…

let V is vector space and W is sub set of V W is called subspace iff .a au + bv EW, vu, v EW, a, b EF .b au EW , Vu, v EW, а €F

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 52E

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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.

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let V is vector space and W is sub
set of V
W is called subspace iff
.a
au + bv EW, vu, v EW, a, b EF
V
.b
au
EW , Vи, v EW, a €F

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