Fixed rank solutions of linear matrix equations

Mitra, Sujit Kumar (1972) Fixed rank solutions of linear matrix equations Sankhya - Series A, 34 (4). pp. 387-392. ISSN 0581-572X

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Abstract

For the matrix equation AXB=C, we obtain the general solution X of a predetermined rank. We also obtain necessary and sufficient conditions for the rank of BA-C to be invariant under choice of A-.

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