Alternative Equation Formats

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

MathML

K = [\begin{matrix} 0 & 0 & \dots & 0 \\ 0 & 0 & \dots & 0 \\ ⋮ & ⋮ & ⋱ & ⋮ \\ Π_{u} & Π_{u - 1} & \dots & Π_{v + 1} \\ 0 & 0 & \dots & 0 \\ ⋮ & ⋮ & ⋱ & ⋮ \\ 0 & 0 & \dots & 0 \end{matrix}], G = [\begin{matrix} V_{0} & I_{k} \\ V_{1} & Ψ_{1} \\ ⋮ & ⋮ \\ V_{v - 1} & Ψ_{v - 1} \\ I_{r} & 0_{r \times k} \\ Ψ_{1}^{x} & 0_{r \times k} \\ ⋮ & ⋮ \\ Ψ_{v - 1}^{x} & 0_{r \times k} \end{matrix}]

Math Rendered as SVG

Math as LaTeX Source

\[ K = \left[\begin{matrix} 0 & 0 & {\cdots } & 0 \\ 0 & 0 & {\cdots } & 0 \\ {\vdots } & {\vdots } & \ddots & {\vdots } \\ \Pi _{u} & \Pi _{u-1} & {\cdots } & \Pi _{v+1} \\ 0 & 0 & {\cdots } & 0 \\ {\vdots } & {\vdots } & \ddots & {\vdots } \\ 0 & 0 & {\cdots } & 0 \\ \end{matrix}\right], ~ ~ G = \left[\begin{matrix} V_{0} & I_ k \\ V_{1} & \Psi _{1} \\ {\vdots } & {\vdots } \\ V_{v-1} & \Psi _{v-1} \\ I_ r & 0_{r\times k} \\ \Psi ^ x_{1} & 0_{r\times k} \\ {\vdots } & {\vdots } \\ \Psi ^ x_{v-1} & 0_{r\times k} \\ \end{matrix}\right] \]