Answered: Let U and W be subspaces of R*;…

Let U and W be subspaces of R*; U=span{(1,1,0,-1), (1,2,2,-2), (1,2,3,0)} and W=span{(2,3,3,-1), (2,3,2,-3), (1,3,4,-3)}. Find a basis for U+W and dim(U+W).

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 17E: Finding a basis for a subspace in exercise 17-20, find a basis for the subspace of R4 spanned by S....

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Question

Let U and W be subspaces of R*; U=span{(1,1,0,-1), (1,2,2,-2), (1,2,3,0)} and W=span{(2,3,3,-1),
(2,3,2,-3), (1,3,4,-3)}. Find a basis for U+W and dim(U+W).

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