Determining the dependency of the given sets of vectors:

Consider the given sets of vectors,

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

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

A=[2 11 2]

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,

[1 121 2]

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

[1 120 32]

Replace row 2 by 23

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Chapter 2.4, Problem 2P

Chapter 2.4, Problem 4P

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Solution Summary: The author explains the Gauss-Jordan method to determine the dependency of the given sets of vectors.

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