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K Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4. x= 0 6 1 8 12 1 8 0 -6 - 8 U₁ = U2 43 = ' U4= x= -7 1 - 1 1 1 -7 -1 5 0 (Type an integer or simplified fraction for each matrix element.)

K Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4. x= 0 6 1 8 12 1 8 0 -6 - 8 U₁ = U2 43 = ' U4= x= -7 1 - 1 1 1 -7 -1 5 0 (Type an integer or simplified fraction for each matrix element.)

Elementary Linear Algebra (MindTap Course List)
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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K Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4. x= 0 6 1 8 12 1 8 0 -6 - 8 U₁ = U2 43 = ' U4= x= -7 1 - 1 1 1 -7 -1 5 0 (Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:K Write x as the sum of two vectors, one in Span {u₁,u2,u3} and one in Span (u4}. Assume that (u1.... 4) is an orthogonal basis for R4. x= 0 6 1 8 12 1 8 0 -6 - 8 U₁ = U2 43 = ' U4= x= -7 1 - 1 1 1 -7 -1 5 0 (Type an integer or simplified fraction for each matrix element.)
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