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Math Help - Rank of a matrix

  1. #1
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    Rank of a matrix

    What is the rank of a matrix and how it can be found?What is its uses?Please clarify with examples.
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  2. #2
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    The rank of a matrix is the number of linearly independent rows (or columns) of that matrix. This is usually found by the Gauss elimination method, but other methods exist for more complicated/exotic circumstances.

    Matrix rank can be used to characterize some properties of a matrix, or determine the number of solutions to a system of linear equations represented by the matrix (which is the typical application on first encounters with matrices).
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