Determining the dependency of the given sets of vectors:

Consider the given sets of vectors,

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

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

A=[1 2 12 0 0]

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

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

[1 2 10 -4 -2]

Now, replace row 2 by (−14(row2)), then the following matrix is obtained,

[1<

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Chapter 2, Problem 12RP

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Operations Research : Applications and Algorithms

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Solution Summary: The author explains the Gauss-Jordan method, which is applied to find the dependency of the above given sets of vectors.

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