Inverse

0th

Percentile

Inverse of a Matrix

Uses gaussianElimination to find the inverse of a square, non-singular matrix, \(X\).

Usage
Inverse(X, tol = sqrt(.Machine$double.eps), ...)
Arguments
X

a square numeric matrix

tol

tolerance for checking for 0 pivot

...

other arguments passed on

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.

Value

the inverse of X

Aliases
  • Inverse
  • inv
Examples
# NOT RUN {
  A <- matrix(c(2, 1, -1,
               -3, -1, 2,
               -2,  1, 2), 3, 3, byrow=TRUE)
  Inverse(A)
  Inverse(A, verbose=TRUE, fractions=TRUE)
# }
Documentation reproduced from package matlib, version 0.9.2, License: GPL (>= 2)

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