Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations can be written as a linear combination of the basic vectors. w - x + y – z w + 2x + y + z 0, 0. (The components of these vectors appear in alphabetical order: (w,x,y,z) ). HF ||||

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 72E: Proof When V is spanned by {v1,v2,...,vk} and one of these vector can be written as a linear...
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Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations can be written as a linear combination of the basic
vectors.
w - x + y – z
w + 2x + y + z
0,
0.
(The components of these vectors appear in alphabetical order: (w,x,y,z) ).
HF
||||
Transcribed Image Text:Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations can be written as a linear combination of the basic vectors. w - x + y – z w + 2x + y + z 0, 0. (The components of these vectors appear in alphabetical order: (w,x,y,z) ). HF ||||
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