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This document derives formulas for block matrices, including block matrix inverses, determinants, pseudoinverses, and conditions for positive semidefiniteness. It shows that the determinant and inverse of a block matrix can be written in terms of the Schur complements of the diagonal blocks. It also derives the Woodbury matrix identity and formulas for the pseudoinverse and upper-left block of block matrix inverses and products.

Author

Maximo Gonzalo Mero

Language

EN