Mathematics Extended Part Module 2 is undeniably demanding, but it is equally rewarding. It provides the mathematical toolkit necessary to decode the laws of the universe. Whether you are aiming for a high score in the DSE or preparing for a career in technology, mastering M2 is a significant milestone in your academic journey.

Given ( \mathbfa = \beginpmatrix 1 \ 2 \ -1 \endpmatrix ), ( \mathbfb = \beginpmatrix 2 \ 0 \ 3 \endpmatrix ), find the area of the triangle formed by ( \mathbfa ) and ( \mathbfb ).