Difference between revisions of "MatrixRank Command"

Revision as of 13:29, 11 July 2013

MatrixRank[ <Matrix> ]

Returns the rank of given matrix.

Examples:

MatrixRank[{{2, 2}, {1, 1}}] yields 1,
MatrixRank[{{1, 2}, {3, 4}}] yields 2,
let A = {{1, 2, 3}, {1, 1, 1}, {2, 2, 2}} be a 3x3-matrix, MatrixRank[A] yields 2.

MatrixRank[ <Matrix> ]

Returns the rank of given matrix.

Examples:

@@ Line 5: / Line 5: @@
 :{{examples| 1=<div>
 :* <code><nowiki>MatrixRank[{{2, 2}, {1, 1}}]</nowiki></code> yields ''1'',
-:* <code><nowiki>MatrixRank[{{1, 2}, {3, 4}}]</nowiki></code> yields ''2''.</div>}}
+:* <code><nowiki>MatrixRank[{{1, 2}, {3, 4}}]</nowiki></code> yields ''2'',
+:* let <code><nowiki>A = {{1, 2, 3}, {1, 1, 1}, {2, 2, 2}}</nowiki></code> be a 3x3-matrix, <code><nowiki>MatrixRank[A]</nowiki></code> yields ''2''.</div>}}
 ==CAS Syntax==
 ;MatrixRank[ <Matrix> ]
 :Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix.
-:{{Examples|1=<br>
+:{{Examples|1=<div>
 :*<code><nowiki>MatrixRank[{{2, 2}, {1, 1}}]</nowiki></code> yields ''1'',
 :*<code><nowiki>MatrixRank[{{1, 2}, {3, 4}}]</nowiki></code> yields ''2'',
-:*<code><nowiki>MatrixRank</nowiki></code>[<code>{{a<sub>1<sub>1</sub></sub> , a<sub>1<sub>2</sub></sub>}, { a<sub>2<sub>1</sub></sub>,  a<sub>2<sub>2</sub></sub> }} </code>] yields ''2'',
+:*<code><nowiki>MatrixRank[{{1, 2}, {k*1,  k*2}}]</nowiki></code>  yields ''1''.</div>}}
-:*<code><nowiki>MatrixRank</nowiki></code>[<code>{{a<sub>1<sub>1</sub></sub> , a<sub>1<sub>2</sub></sub>}, {k  a<sub>1<sub>1</sub></sub>,  k a<sub>1<sub>2</sub></sub> }} </code>]  yields ''1''.}}