Difference between revisions of "Identity Command"

Latest revision as of 17:34, 29 September 2017

Identity( <Number> ): Gives the identity matrix of the given order.; Example:
Identity(3) yields the matrix \begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}.

Note: If A is a square matrix of order n, A^0 yields the same as Identity(n).

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|vector-matrix}}
-{{command|cas=true|vector-matrix}}
+;Identity( <Number> )
-;Identity[ <Number> ]
 :Gives the identity matrix of the given order.
-:{{example|1=<div><code><nowiki>Identity[3]</nowiki></code> yields the matrix ''<math>\begin{pmatrix}
+:{{example|1=<div><code><nowiki>Identity(3)</nowiki></code> yields the matrix ''<math>\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}</math>''.</div>}}
-&0&0\\
+{{note|1=If ''A'' is a square matrix of order ''n'', <code><nowiki>A^0</nowiki></code> yields the same as <code><nowiki>Identity(n)</nowiki></code>.}}
-&1&0\\
-&0&1
-\end{pmatrix}</math>''.</div>}}
-{{note|1=If ''A'' is a square matrix of order ''n'', <code><nowiki>A^0</nowiki></code> yields the same as <code><nowiki>Identity[n]</nowiki></code>.}}
-==CAS Syntax==
-;Identity[ <Number> ]
-:Gives the identity matrix of the given order.
-:{{example|1=<div><code><nowiki>Identity[3]</nowiki></code> yields the matrix ''<math>\begin{pmatrix}
-&0&0\\
-&1&0\\
-&0&1
-\end{pmatrix}</math>''.</div>}}
-{{note|1=If ''A'' is a square matrix of order ''n'', <code><nowiki>A^0</nowiki></code> yields the same as <code><nowiki>Identity[n]</nowiki></code>.}}