Answered: Let v1=[ 1 0 −1 ], v2=[ 2 1

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Algebra

Let v1=[ 1 0 −1 ], v2=[ 2 1

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].

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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

Let v1=[
1
0
−1
], v2=[
2
1
3
], v3=[
4
2
6
], (3)

For Even roll number

Is w=[
1
3
14
] in the subspace spanned by [ v1,v2,v3]? Why?

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