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This is an example of the %BEGINLATEX{inline="1" density="200" gamma="1.0" color="Purple"}%\LaTeX%ENDLATEX% rendering possibilities using the LatexModePlugin.

The singular value decomposition of a matrix $A$ is defined as %BEGINLATEX{label="one" color="Green"}% \begin{displaymath} A = U \Sigma V^H \end{displaymath} %ENDLATEX% where $U$ and $V$ are both matrices with orthonormal columns, $\{\cdot\}^H$ indicates a complex-conjugate transpose, and $\Sigma$ is a diagonal matrix with singular values $$\sigma_1 > \sigma_2 > \cdots > \sigma_n \geq 0$$ along the main diagonal. Eq. %REFLATEX{one}% is just one of the many matrix decompositions that exists for matrix $A$ .

Math Plugin

-- Koji Nakamura - 2016-04-01