Bhimasankaram, P. ; Mitra, Sujit Kumar (1969) On a theorem of Rao on g-inverses of matrices Sankhya - Series A, 31 (3). pp. 365-368. ISSN 0581-572X
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Abstract
Consider matrices Ai(m × ni)i =1(1)k and let Λ(m × m) be a p.d. matix. Rao(1967) shows that if Σ R(Ai)=m, Λ-1=Σ Ai(A•iΛ Ai)-A•i ⇔ A•i Λ Aj =0 for each i, j, i ≠ j. The present note gives an interesting generalisation of this theorem of Rao.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Statistical Institute. |
ID Code: | 32036 |
Deposited On: | 30 Mar 2011 12:54 |
Last Modified: | 30 Mar 2011 12:54 |
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