Difference between revisions of "Invert Command"
From GeoGebra Manual
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1.5 & -0.5 | 1.5 & -0.5 | ||
\end{pmatrix} | \end{pmatrix} | ||
− | </math>, | + | </math>, the inverse matrix of <math> |
\begin{pmatrix} | \begin{pmatrix} | ||
1 & 2\\ | 1 & 2\\ |
Revision as of 23:39, 17 September 2012
- Invert[ <Matrix> ]
- Inverts the given matrix.
- Example:
Invert[{{1, 2}, {3, 4}}]
yields\begin{pmatrix} -2 & 1\\ 1.5 & -0.5 \end{pmatrix} , 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}
.- Invert[ <Function> ]
- Gives the inverse of the function.
- Note:The function must contain just one x and no account is taken of domain or range, for example 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:Both
Invert[PartialFractions[(x + 1) / (x + 2)]]
andInvert[CompleteSquare[x^2 + 2 x + 1]]
yield the inverse functions.