## 3. A simple element analysis (cont'd)

Applying this equation at each of the three vertices of the element, we obtain
 $\left(\begin{array}{c}{w}_{1}\\ {w}_{2}\\ {w}_{3}\end{array}\right)=\left(\begin{array}{ccc}1& {x}_{1}& {y}_{1}\\ 1& {x}_{2}& {y}_{2}\\ 1& {x}_{3}& {y}_{3}\end{array}\right)\left(\begin{array}{c}{c}_{1}\\ {c}_{2}\\ {c}_{3}\end{array}\right)$ (Eqn. 6)
or, in matrix notation,

 w = X c
(Eqn. 7)

R. Funnell