Alternative Equation Formats

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

MathML

( X X x i x i ) 1 = ( X X ) 1 + ( X X ) 1 x i x i ( X X ) 1 1 x i ( X X ) 1 x i

Math Rendered as SVG

Math as LaTeX Source

\[ \left(\bX '\bX - \mb{x}_ i\mb{x}_ i^\prime \right)^{-1} = \left(\bX '\bX \right)^{-1} + \frac{\left(\bX '\bX \right)^{-1}\mb{x}_ i\mb{x}_ i^\prime \left(\bX '\bX \right)^{-1}}{1-\mb{x}_ i'\left(\bX '\bX \right)^{-1}\mb{x}_ i} \]