Uses gaussianElimination to find the inverse of a square, non-singular matrix, \(X\).
Usage
Inverse(X, tol = sqrt(.Machine$double.eps), ...)
Value
the inverse of X
Arguments
X
a square numeric matrix
tol
tolerance for checking for 0 pivot
...
other arguments passed on
Author
John Fox
Details
The method is purely didactic: The identity matrix, \(I\), is appended to \(X\), giving
\(X | I\). Applying Gaussian elimination gives \(I | X^{-1}\), and the portion corresponding
to \(X^{-1}\) is returned.