Difference between revisions of "Rank"
Jump to navigation
Jump to search
(improved) |
DavidB4-bot (talk | contribs) (→References: Category) |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 2: | Line 2: | ||
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''. | 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: | + | |
| − | [[Category: | + | == 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
- ↑ The row rank equals the column rank.