Difference between revisions of "Rank"
(definition) |
DavidB4-bot (talk | contribs) (→References: Category) |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
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). | ||
| − | [[Category: | + | |
| − | [[Category: | + | 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''. |
| + | |||
| + | == References == | ||
| + | |||
| + | <references/> | ||
| + | |||
| + | [[Category:Linear Algebra]] | ||
| + | [[Category:Mathematics]] | ||
Latest revision as of 14:35, July 28, 2016
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.
References
- â The row rank equals the column rank.