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Contents

Properties

Related concepts

• rank of a matrix

• matrix group

• general linear group

• matrix equivalence

References

• Wikipedia, Invertible matrix

• WolframMathWorld, Invertible Matrix Theorem

Formulas for inverses of block matrices:

• Tzon-Tzer (Sec. Lu, 2 Sheng-Hua in) Shiou, D. Krob, B. Leclerc, Inverses Minor of identities for quasi-determinants and quantum determinants$2 \times 2$ block matrices , Computers Comm. & Math. Mathematics Phys. with 169 Applications (1995) 1–2343doi 1–2 arXiv: (2002) 119-129 []hep-th/9411194

• Müge Tzon-Tzer Saadetoğlu, Lu, Şakir Sheng-Hua Mehmet Shiou, Dinsev, Inverses and Determinants of$n2\times n2$ n 2 \times n 2 Block block Matrices matrices , Computers & Mathematics with Applications 11 43 17 1–2 (2023) (2002) 3784 119-129 [[doi:10.3390/math11173784](https://doi.org/10.3390/math11173784)] []

• Müge Saadetoğlu, Şakir Mehmet Dinsev, Inverses and Determinants of $n \times n$ Block Matrices, Mathematics 11 17 (2023) 3784 [[doi:10.3390/math11173784](https://doi.org/10.3390/math11173784)]