This is the matrix inversion lemma, which can also be derived using matrix blockwise inversion.
He also wrote papers on angle trisection, matrix inversion, and applications of group theory to formal logic.
This large error covariance matrix is obtained by matrix inversion from the respective system of Normal Equations.
Hence coefficients can also be found by solving linear system, for instance by matrix inversion.
This can be derived using blockwise matrix inversion.
Only a square matrix is conformable for matrix inversion.
An early summary of these effects, regarding the choice of computational methods for matrix inversion, was provided by Wilkinson.
(There are standard methods to calculate the inverse matrix; see matrix inversion for details.)
SMM, eventually leads to a matrix formalism, and the coefficients are calculated through matrix inversion.
Here no matrix inversion is required.