Difference between revisions of "Invert Command"
From GeoGebra Manual
(→CAS Syntax: modified math visualization as in CAS View) |
|||
Line 32: | Line 32: | ||
:{{note|1=<div>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:</div> | :{{note|1=<div>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:</div> | ||
::{{example|1=<div>Both <code><nowiki>Invert[PartialFractions[(x + 1) / (x + 2)]]</nowiki></code> and <code><nowiki>Invert[CompleteSquare[x^2 + 2 x + 1]]</nowiki></code> yield the inverse functions.</div>}}}} | ::{{example|1=<div>Both <code><nowiki>Invert[PartialFractions[(x + 1) / (x + 2)]]</nowiki></code> and <code><nowiki>Invert[CompleteSquare[x^2 + 2 x + 1]]</nowiki></code> yield the inverse functions.</div>}}}} | ||
+ | |||
+ | :{{note|1=<div>In the [[CAS_View|CAS View]], the following also work: <code><nowiki>Invert[(x + 1) / (x + 2)]</nowiki></code> and <code><nowiki>Invert[x^2 + 2 x + 1]</nowiki></code></div>}} |
Revision as of 14:17, 19 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}{ad- bc} & \frac{-b}{ad- bc}\\ \frac{-c}{ad- bc}& \frac{a}{ ad- bc} \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.
- Note: