Abstract
If \( a \in \mathbb{R}\) and \( y \in \mathbb{R}\) have property \( ay \neq 0,\) then trivially
that is, we can cancel y from (6.1) (as well as a). For matrices, the corresponding cancellation does not work. However, there is a very handy trick, the rank cancellation rule, which allows cancellations for matrices in the style of (6.1). It seems, according to our experience, that this simple rule has not received so much appreciation in statistical literature as it earns.
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© 2011 Springer-Verlag Berlin Heidelberg
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Puntanen, S., Styan, G.P.H., Isotalo, J. (2011). Rank Cancellation Rule. In: Matrix Tricks for Linear Statistical Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10473-2_7
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DOI: https://doi.org/10.1007/978-3-642-10473-2_7
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