Difference between revisions of "Identity Command"

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; Identity[Number n]: Returns the identity matrix with the given order (<math>n\times n</math>).
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;Identity[ <Number n> ]
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:{{Example|1= <code>Identity[3]</code> gives you the matrix ''<math>\begin{pmatrix}1&0&0\\0&1&0\\0&0&1\end{pmatrix}</math>''.}}
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:Gives the identity matrix of the given order.
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:{{Note|1=If ''A'' is a square matrix of order ''n'', <code>A^0</code> produces the same matrix as <code>Identity[n]</code>.<br>This command is not dynamic. ie <code>Identity[a]</code> will not change when '''a''' is changed.}}
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:{{example|1=<div><code><nowiki>Identity[3]</nowiki></code> yields the matrix ''<math>\begin{pmatrix}
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1&0&0\\
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0&1&0\\
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0&0&1
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\end{pmatrix}</math>''.</div>}}
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{{note|1=<div>
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* 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>.
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* This command is not dynamic. For example the result of <code><nowiki>Identity[a]</nowiki></code> will not change if ''a'' is changed.</div>}}
 
==CAS Syntax==
 
==CAS Syntax==
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;Identity[Number]: Returns the identity matrix with the given order.
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;Identity[ <Number> ]
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:Gives the identity matrix of the given order.
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:{{example|1=<div><code><nowiki>Identity[3]</nowiki></code> yields the matrix ''<math>\begin{pmatrix}
 +
1&0&0\\
 +
0&1&0\\
 +
0&0&1
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\end{pmatrix}</math>''.</div>}}
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{{note|1=<div>
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* 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>.
 +
* This command is not dynamic. For example the result of <code><nowiki>Identity[a]</nowiki></code> will not change if ''a'' is changed.</div>}}

Revision as of 11:21, 14 September 2012


Identity

This article is about GeoGebra command.

Command Categories (All commands)


Identity[ <Number n> ]
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].
  • This command is not dynamic. For example the result of Identity[a] will not change if a is changed.

CAS Syntax

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].
  • This command is not dynamic. For example the result of Identity[a] will not change if a is changed.
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