Abstract
There are numerous situations in the world of linear models and multivariate analysis when we need to find some appropriate expressions for the rank of the matrix product AB, or of the partitioned matrix (A : B), for conformable matrices A and B. Our favourite expressions are represented in the following theorem.
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© 2011 Springer-Verlag Berlin Heidelberg
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Puntanen, S., Styan, G.P.H., Isotalo, J. (2011). Rank of the Partitioned Matrix and the Matrix Product. In: Matrix Tricks for Linear Statistical Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10473-2_6
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DOI: https://doi.org/10.1007/978-3-642-10473-2_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10472-5
Online ISBN: 978-3-642-10473-2
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