Answered: A set S of vectors in R4 is given. Find…

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. V1= (3,3,-6,9) V2=(2,30,-60,38) v3=(4,32,-64,44) A basis for the subspace is given by___?

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 18E

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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.

V₁= (3,3,-6,9) V₂=(2,30,-60,38) v₃=(4,32,-64,44)

A basis for the subspace is given by___?

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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