Xavier Holt edited subsection_Prior_for_Weights_In__.tex  over 8 years ago

Commit id: 506fd933fe16409b1eccac78aafba9b16ccf7977

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\begin{lem}[Diagonal Matrices]  \begin{enumerate}  \item the The  inverse of a diagonal matrix is readily computable as $(\text{diag}(a_1, a_2,\dots))^{-1} = \text{diag}(a_1^{-1}, a_2^{-1}\dots) $. \item the The  roots of a diagonal matrix are similarly trivial with $(\text{diag}(a_1, a_2,\dots))^{1/k} = \text{diag}(a_1^{1/k}, a_2^{1/k},\dots)$. \item for For  all matrices with well defined inverse and roots $A^{-1/k}=(A^{1/k})^{-1} = (A^{-1})^{1/k}$. \end{enumerate}  \end{lem}