Abstract
1. T. W. Anderson and G. P. H. Styan, Cochran's theorem, Rank Additivity and Tripotent Matrices. In Statistics and Probability: Essays in Honor of C. R. Rao, ed. G. Kallianpur, P. R. Krishnaiah, and J. K. Ghosh, North-Holland, Amsterdam, 1982, pp. 1-23. 2. J. S. Chipman and M. M. Rao, Projections, Generalized Inverses, and Quadratic Forms, J. Math. Anal Appl. 9 (1964) 1-11. 3. W. G. Cochran, The Distribution of Quadratic Forms in a Normal System, with Applications to the Analysis of Covariance, Proc. Cambridge Phil. Soc. 30 (1934) 178-191. 4. R. E. Hartwig and P. Semrl, Power Additivity and Orthogonality, SIAM J. Matrix Anal. Appl. 20 (1998) 1-13. 5. G. Marsaglia and G. P. H. Styan, Equalities and Inequalities for Ranks of Matrices, Linear and Multilinear Algebra 2 (1974) 269-292. 6. P. Semrl, On a Matrix Version of Cochran's Statistical Theorem, Linear Algebra Appl. 237/238 (1996) 477-487.
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