Difference between revisions of "MatrixRank Command"

Latest revision as of 10:51, 8 July 2019

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 undefined variables.

Example:

MatrixRank({{1, 2}, {k*1, k*2}}) yields 1.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
-{{command|CAS}}
+{{command|vector-matrix}}
-;MatrixRank[ <Matrix> ]
+;MatrixRank( <Matrix> )
 :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({{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>}}
+{{hint|1=
+In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] this command also works with undefined variables.
+:{{example|<div><code><nowiki>MatrixRank({{1, 2}, {k*1,  k*2}})</nowiki></code>  yields ''1''.</div>}}
+}}