Invert Command
- Invert( <Matrix> )
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Inverts the given matrix.
Invert({{1, 2}, {3, 4}}) yields \(\begin{pmatrix}-2 & 1\\1.5 & -0.5\end{pmatrix}\), the inverse matrix of
\(\begin{pmatrix}1 & 2\\3 & 4\end{pmatrix}\).
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 \(\begin{pmatrix}a & b\\c & d\end{pmatrix}\).
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- Invert( <Function> )
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Gives the inverse of the function.
Invert(sin(x)) yields asin(x).
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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: |
Both Invert(PartialFractions((x + 1) / (x + 2))) and Invert(CompleteSquare(x^2 + 2 x + 1)) yield the inverse
functions.
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