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Rank (linear algebra)


 

In linear algebra, the column rank (row rank respectively) of a matrix A with entries in some field is defined to be the maximal number of columns (rows respectively) of A which are linearly independent.

Related Topics:
Linear algebra - Matrix - Field - Linearly independent

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The column rank and the row rank are indeed equal; this common number is simply called the rank of A. It is commonly denoted by either rk(A) or rank A.

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