Difference between revisions of "MatrixRank Command"

Revision as of 08:52, 27 August 2015

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.

Hint: In the

CAS View this command also works with undefinde variables.

Example:

MatrixRank[{{1, 2}, {k*1, k*2}}] yields 1.

@@ Line 4: / Line 4: @@
 :Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix.
 :{{examples| 1=<div>
-:* <code><nowiki>MatrixRank[{{2, 2}, {1, 1}}]</nowiki></code> yields ''1'',
+:* <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[{{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>}}
+:* 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==
+{{hint|1=
-;MatrixRank[ <Matrix> ]
+In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] this command also works with undefinde variables.
-:Returns the [[w:Rank_(linear_algebra)|rank]] of given matrix.
+:{{example|<div><code><nowiki>MatrixRank[{{1, 2}, {k*1,  k*2}}]</nowiki></code>  yields ''1''.</div>}}
-:{{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[{{1, 2}, {k*1,  k*2}}]</nowiki></code>  yields ''1''.</div>}}