Math Test

\[ \Pr (A\vert B)=\frac{\Pr (A)\times \Pr (B \vert A)}{\Pr (B)} = \frac{\Pr (A)\times \Pr (B \vert A)}{\Pr (A)\times \Pr (B \vert A) + \Pr (\neg A)\times \Pr (B \vert \neg A)} \]

\[ \left[ \begin{array}{ccc} \lambda - a & -b & -c \\ -d & \lambda - e & -f \\ -g & -h & \lambda - i \end{array} \right] \]

\[ \iint xy^2\,dx\,dy =\frac{1}{6}x^2y^3, \]

\[ u=\frac{-y}{x^2+y^2}\,,\quad v=\frac{x}{x^2+y^2}\,,\quad\text{and}\quad w=0\,. \]