Inverse and Determinant of a Square Matrix by Order Expansion and Condensation [EM Programmer's Notebook]


A simple and straightforward quick iterative methodology is presented for computing the inverse and determinant of any
sq. matrix by successively applying order condensation and order expansion in an iterative process. Applying&#thirteen; the optimal iteration method, that comprises only some twenty lines of the MATLAB supply code (using solely straightforward elementary
arithmetical operations), the inverse matrix will be computed inside minutes from any given sq. matrix,&#thirteen; even of comparatively massive size (like 999), with real or complicated entries, and no matter whether the matrix is singular
or nonsingular.

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