On the inversion of a particular matrix
- 1 June 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 17 (3) , 374-375
- https://doi.org/10.1109/tac.1972.1099978
Abstract
Necessary and sufficient conditions for the nonsingularity of a particular mn \times mn partitioned matrix C are given in terms of lower order m \times m matrices. The matrix C is formed by adding a block diagonal matrix to a partitioned matrix, each of whose submatrices are identical. Analytical formulas are given for both the determinant and the inverse of C .Keywords
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