Invert Command
From GeoGebra Manual
Revision as of 13:21, 17 September 2012 by Alexander Hartl (talk | contribs)
- Invert[ <Matrix> ]
- Inverts the given matrix.
- Example:
Invert[{{1, 2}, {3, 4}}]
yields\begin{pmatrix} -2 & 1\\ 1.5 & -0.5 \end{pmatrix} , the the inverse matrix of
\begin{pmatrix} 1 & 2\\ 3 & 4 \end{pmatrix}
.CAS Syntax
- Invert[ <Matrix> ]
- Inverts the given matrix.
- Example:
Invert[{{a, b}, {c, d}}]
yields\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} the inverse matrix of
\begin{pmatrix} a & b\\ c & d \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.