Difference between revisions of "Identity Command"
From GeoGebra Manual
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;Identity[ <Number> ] | ;Identity[ <Number> ] | ||
:Gives the identity matrix of the given order. | :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>}} |
| − | 1&0&0\\ | ||
| − | 0&1&0\\ | ||
| − | 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>.}} | {{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== | ==CAS Syntax== | ||
;Identity[ <Number> ] | ;Identity[ <Number> ] | ||
:Gives the identity matrix of the given order. | :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>}} |
| − | 1&0&0\\ | ||
| − | 0&1&0\\ | ||
| − | 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>.}} | {{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>.}} | ||
Revision as of 13:02, 31 March 2015
- 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].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].
