Alternative Equation Formats

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\begin{aligned} 0 & = v_{o p t}^{'} w_{o p t} = (u - z_{o p t})^{'} w_{o p t} = u^{'} w_{o p t} - z_{o p t}^{'} w_{o p t} \\ 0 & = z_{o p t}^{'} s_{o p t} = s_{o p t}^{'} z_{o p t} = (c - A^{'} t_{o p t} + w_{o p t})^{'} z_{o p t} \\ = c^{'} z_{o p t} - t_{o p t}^{'} (A z_{o p t}) + w_{o p t}^{'} z_{o p t} = c^{'} z_{o p t} - b^{'} t_{o p t} + u^{'} w_{o p t} \end{aligned}

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Math as LaTeX Source

\begin{align*} 0 & = \mb{v}^{\prime }_{\mathit{opt}} \mb{w}_{\mathit{opt}} = (\mb{u} - \mb{z}_{\mathit{opt}})^{\prime } \mb{w}_{\mathit{opt}} = \mb{u}^{\prime } \mb{w}_{\mathit{opt}} - \mb{z}^{\prime }_{\mathit{opt}} \mb{w}_{\mathit{opt}}\\ 0 & = \mb{z}^{\prime }_{\mathit{opt}} \mb{s}_{\mathit{opt}} = \mb{s}^{\prime }_{\mathit{opt}} \mb{z}_{\mathit{opt}} = (\mb{c} - \bA ^{\prime } \mb{t}_{\mathit{opt}} + \mb{w}_{\mathit{opt}})^{\prime } \mb{z}_{\mathit{opt}}\\ & = \mb{c}^{\prime } \mb{z}_{\mathit{opt}} - \mb{t}^{\prime }_{\mathit{opt}} (\bA \mb{z}_{\mathit{opt}}) + \mb{w}_{\mathit{opt}}^{\prime } \mb{z}_{\mathit{opt}}= \mb{c}^{\prime } \mb{z}_{\mathit{opt}} - \mb{b}^{\prime } \mb{t}_{\mathit{opt}} + \mb{u}^{\prime } \mb{w}_{\mathit{opt}}\\ \end{align*}