A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4 spanned by S. 4 2 4 12 - 6 V₁ = V2 V3 - 4 22 8 - 10 A basis for the subspace is given by (Use a comma to separate vectors as needed.) 0 20 - 6

A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4 spanned by S. 4 2 4 12 - 6 V₁ = V2 V3 - 4 22 8 - 10 A basis for the subspace is given by (Use a comma to separate vectors as needed.) 0 20 - 6

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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Question

A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4 spanned by S.
4
2
4
12
- 6
V₁ =
V2
V3
- 4
22
8
- 10
A basis for the subspace is given by
(Use a comma to separate vectors as needed.)
0
20
- 6

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