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Matrices : Finding the Rank

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How to find rank of a matrix: definitions and an example (4*4 matrix) with detailed explanations.
Find the rank of
A= [1 0 2 0]
[4 0 3 0]
[5 0 -1 0]
[2 -3 1 1].
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Solution Summary

The rank of a matrix is found. The solution is detailed and well presented.

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Rank of a matrix is equal to the number of linearly independent rows in the matrix
Notice, (1) the number of linearly independent rows is always equal to the number of linearly independent rows;
(2) columns (rows) ...

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