Alternative Equation Formats

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

MathML

[\begin{matrix} y_{1} \\ y_{2} \\ ⋮ \\ y_{n} \end{matrix}] = [\begin{array}{cccc} x_{11} & x_{12} & \dots & x_{1 p} \\ x_{21} & x_{22} & \dots & x_{2 p} \\ ⋮ & ⋮ & ⋮ \\ x_{n 1} & x_{n 2} & \dots & x_{n p} \end{array}] [\begin{matrix} β_{1} \\ β_{2} \\ ⋮ \\ β_{p} \end{matrix}] + [\begin{matrix} ϵ_{1} \\ ϵ_{2} \\ ⋮ \\ ϵ_{n} \end{matrix}]

MathML rendered with MathJax

[\begin{matrix} y_{1} \\ y_{2} \\ ⋮ \\ y_{n} \end{matrix}] = [\begin{array}{cccc} x_{11} & x_{12} & \dots & x_{1 p} \\ x_{21} & x_{22} & \dots & x_{2 p} \\ ⋮ & ⋮ & ⋮ \\ x_{n 1} & x_{n 2} & \dots & x_{n p} \end{array}] [\begin{matrix} β_{1} \\ β_{2} \\ ⋮ \\ β_{p} \end{matrix}] + [\begin{matrix} ϵ_{1} \\ ϵ_{2} \\ ⋮ \\ ϵ_{n} \end{matrix}]

Math as LaTeX Source

\[ \left[\begin{array}{c} y_1 \\ y_2 \\ \vdots \\ y_ n \end{array} \right] = \left[\begin{array}{cccc} x_{11} & x_{12} & \ldots & x_{1p} \\ x_{21} & x_{22} & \ldots & x_{2p} \\ \vdots & \vdots & & \vdots \\ x_{n1} & x_{n2} & \ldots & x_{np} \end{array} \right] \left[\begin{array}{c} \beta _1 \\ \beta _2 \\ \vdots \\ \beta _ p \end{array} \right] + \left[\begin{array}{c} \epsilon _1 \\ \epsilon _2 \\ \vdots \\ \epsilon _ n \end{array} \right] \]