Alternative Equation Formats

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MathML

\begin{aligned} k_{0} & = 1 + M^{- 1} j_{M}^{^{'}} X (X^{^{'}} P X)^{- 1} X^{^{'}} j_{M} \\ k_{N} & = t r {(X^{^{'}} P X)^{- 1} X^{^{'}} P_{λ} X} \\ k_{T} & = t r {(X^{^{'}} P X)^{- 1} X^{^{'}} P_{ν} X} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} k_0 & = 1 + M^{-1} \mb{j} ^{'}_{M} \mb{X} (\mb{X}^{'} \mb{P} \mb{X})^{-1} \mb{X}^{'} \mb{j}_{M} \\ k_{N} & = \mr{tr}\{ (\mb{X}^{'} \mb{P} \mb{X})^{-1} \mb{X}^{'} \mb{P}_\lambda \mb{X} \} \\ k_{T} & = \mr{tr}\{ (\mb{X}^{'} \mb{P} \mb{X})^{-1} \mb{X}^{'} \mb{P}_\nu \mb{X} \} \end{align*}