Difference between revisions of "Invert Command"
From GeoGebra Manual
Line 16: | Line 16: | ||
\end{pmatrix} | \end{pmatrix} | ||
</math>.</div>}} | </math>.</div>}} | ||
+ | |||
{{betamanual|version=4.2| | {{betamanual|version=4.2| | ||
1=; Invert[ <Function> ] | 1=; Invert[ <Function> ] | ||
: Returns the inverse of the function. | : Returns the inverse of the function. | ||
− | {{Note|1=The function must contain just one 'x' and no account is taken of domain or range, eg for f(x)=x^2 or f(x) = sin(x). If there is more than one 'x' in the function you | + | {{Note|1=The function must contain just one ''x'' and no account is taken of domain or range, eg for f(x)=x^2 or f(x) = sin(x). |
+ | If there is more than one ''x'' in the function another command might help you: | ||
+ | :{{example|1=<div><code><nowiki>Invert[PartialFractions[(x+1)/(x+2)]]</nowiki></code> or <code><nowiki>Invert[CompleteSquare[x^2+2x+1]]</nowiki></code> gives you the inverse of the function.</div>}} | ||
+ | }} | ||
}} | }} |
Revision as of 15:19, 25 June 2012
- Invert[Matrix]
- Inverts the given matrix.
- Example:
Invert[{{1, 2}, {3, 4}}]
gives you the inverse matrix\begin{pmatrix} -2 & 1\\ 1.5 & -0.5 \end{pmatrix}
.CAS Syntax
- Invert[Matrix]
- Inverts the given matrix.
- Example:
Invert[{{a, b}, {c, d}}]
gives you the inverse matrix\begin{pmatrix} \frac{d}{a* d- b* c} & \frac{-b}{a* d- b* c}\\ \frac{-c}{a* d- b* c}& \frac{a}{ a* d- b* c} \end{pmatrix}
.
Following text is about a feature that is supported only in GeoGebra 4.2.
- Invert[ <Function> ]
- Returns the inverse of the function.
Note: The function must contain just one x and no account is taken of domain or range, eg for f(x)=x^2 or f(x) = sin(x).If there is more than one x in the function another command might help you:
- Example:
Invert[PartialFractions[(x+1)/(x+2)]]
orInvert[CompleteSquare[x^2+2x+1]]
gives you the inverse of the function.