Please answer with explanation. Write x as the sum of two vectors, one in Span fu1,u2,uz} and one in Span fu4}. Assume that fu, .u4} is an orthogonal basis for R*.2141214- 2- 7U, =Uz =1- 31- 14- 1- 31(Type an integer or simplified fraction for each matrix element.)

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Answered: Write x as the sum of two vectors, one…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...

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Write x as the sum of two vectors, one in Span fu1,u2,uz} and one in Span fu4}. Assume that fu, .u4} is an orthogonal basis for R*. 2 1 4 12 1 4 - 2 - 7 U, = Uz = 1 - 3 1 - 1 4 - 1 - 3 1 (Type an integer or simplified fraction for each matrix element.)