Determining the dependency of the given sets of vectors:

Consider the given sets of vectors,

V={[2 1 0], [1 2 0], [3 3 1]}

A matrix A is formed as given below; whose rows are the above given vectors:

A=[2 1 01 2 03 3 1]

The Gauss-Jordan method is applied to find the dependency of the above given sets of vectors.

Replace row 1 by (12(row 1)), then the following matrix is obtained,

[1 12 01 2 03 3 1]

Now, replace row 2 by (row 2 – row 1), then the following matrix is obtained,

[1 12 00 32 03 3 1]

Now, replace row 3 by (row 3 – 3 (row 1)), then the following matrix is obtained,

[1 12 00 32 00 32 1]

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Chapter 2.4, Problem 1P

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Chapter 2 Solutions

Student Suite Cd-rom For Winston's Operations Research: Applications And Algorithms

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