Difference between revisions of "Rank"
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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]] | ||
Revision as of 14:06, April 28, 2010
The rank of a matrix is the number of its leading 1's when in reduced row-echelon form (rref).
The rank is the number of linear independent rows (or columns) in a matrix.[1] For an m x n matrix, the rank is less than the minimum of m and n.
- ↑ The row rank equals the column rank.