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Rank (view source)

Revision as of 14:06, April 28, 2010

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The '''rank''' of a [[matrix]] is the number of its leading 1's when in [[reduced row-echelon form]] (rref).
 
The '''rank''' of a [[matrix]] is the number of its leading 1's when in [[reduced row-echelon form]] (rref).
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The '''rank''' is the number of linear independent rows (or columns) in a matrix.<ref>The row rank equals the column rank.</ref>  For an ''m x n'' matrix, the rank is less than the minimum of ''m'' and ''n''.
 
[[Category:linear algebra]]
 
[[Category:linear algebra]]
 
[[Category:mathematics]]
 
[[Category:mathematics]]
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