Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

F = [\begin{matrix} Φ_{1} & \dots & Φ_{v - 1} & Φ_{v} & - Θ_{1} & \dots & - Θ_{q - 1} & - Θ_{q} \\ I_{k} & \dots & 0 & 0 & 0 & \dots & 0 & 0 \\ ⋮ & ⋱ & 0 & ⋮ & ⋮ & ⋱ & ⋮ & ⋮ \\ 0 & \dots & I_{k} & 0 & 0 & \dots & 0 & 0 \\ 0 & \dots & 0 & 0 & 0 & \dots & 0 & 0 \\ 0 & \dots & 0 & 0 & I_{k} & \dots & 0 & 0 \\ ⋮ & ⋱ & 0 & ⋮ & ⋮ & ⋱ & ⋮ & ⋮ \\ 0 & \dots & 0 & 0 & 0 & \dots & I_{k} & 0 \end{matrix}], G = [\begin{matrix} I_{k} \\ 0_{k (v - 1) \times k} \\ I_{k} \\ 0_{k (q - 1) \times k} \end{matrix}]

Math Rendered as SVG

Math as LaTeX Source

\[ F = \left[\begin{matrix} \Phi _{1} & \cdots & \Phi _{v-1} & \Phi _{v} & -\Theta _{1} & \cdots & -\Theta _{q-1} & -\Theta _{q} \\ I_ k & \cdots & 0 & 0 & 0 & \cdots & 0 & 0 \\ \vdots & \ddots & 0 & \vdots & \vdots & \ddots & \vdots & \vdots \\ 0 & \cdots & I_ k & 0 & 0 & \cdots & 0 & 0 \\ 0 & \cdots & 0 & 0 & 0 & \cdots & 0 & 0 \\ 0 & \cdots & 0 & 0 & I_ k & \cdots & 0 & 0 \\ \vdots & \ddots & 0 & \vdots & \vdots & \ddots & \vdots & \vdots \\ 0 & \cdots & 0 & 0 & 0 & \cdots & I_ k & 0 \\ \end{matrix} \right], ~ ~ G = \left[\begin{matrix} I_ k \\ 0_{k(v-1) \times k} \\ I_ k \\ 0_{k(q-1) \times k} \\ \end{matrix}\right] \]