Alternative Equation Formats

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MathML

\begin{aligned} Δ_{N} & = D_{N}^{^{'}} D_{N} & (N \times N) \\ Δ_{T} & = D_{T}^{^{'}} D_{T} & (T \times T) \\ A & = D_{T}^{^{'}} D_{N} & (T \times N) \\ \bar{D} & = D_{T} - D_{N} Δ_{N}^{- 1} A^{^{'}} & (M \times T) \\ Q & = Δ_{T} - A Δ_{N}^{- 1} A^{^{'}} & (T \times T) \\ P & = I_{M} - D_{N} Δ_{N}^{- 1} D_{N}^{^{'}} - \bar{D} Q^{- 1} {\bar{D}}^{^{'}} & (M \times M) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} {\bDelta }_{N}& = \mb{D} ^{'}_{N}\mb{D} _{N} & (N \times N) \\ {\bDelta }_{T}& = \mb{D} ^{'}_{T}\mb{D} _{T} & (T \times T) \\ \mb{A} & = \mb{D} ^{'}_{T}\mb{D} _{N} & (T \times N) \\ \bar{\mb{D}} & = \mb{D} _{T}-\mb{D} _{N}{\Delta }^{-1}_{N}\mb{A} ^{'} & (M \times T) \\ \mb{Q} & = {\Delta }_{T}-\mb{A} {\Delta }^{-1}_{N} \mb{A} ^{'} & (T \times T) \\ \mb{P} & = \mb{I}_{M}-\mb{D}_{N} {\Delta }^{-1}_{N} \mb{D}^{'}_{N}- \bar{\mb{D}}\mb{Q}^{-1}\bar{\mb{D}}^{'} & (M \times M) \end{align*}