Difference between revisions of "Invert Command"
From GeoGebra Manual
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1=; Invert[ <Function> ] | 1=; Invert[ <Function> ] | ||
| − | : Returns the inverse of the function. Note | + | : 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 may be able to invert it like this: <code>Invert[ PartialFractions[(x+1)/(x+2)] ]</code> or this <code>Invert[ CompleteSquare[x^2+2x+1] ]</code>}} | ||
}} | }} | ||
Revision as of 14:24, 31 May 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 you may be able to invert it like this:Invert[ PartialFractions[(x+1)/(x+2)] ]or thisInvert[ CompleteSquare[x^2+2x+1] ]
