User:Matt Kwan/Q2i from MATH1251 exam 2010

$$ \begin{align} \lambda (v\cdot e)&=(Av)\cdot e\\ &=(Av)^Te\\ &=v^TA^Te\\ &=v^Te\\ &=v\cdot e\\ (\lambda-1)(v\cdot e)&=0\\ \lambda&\ne 1\\ v\cdot e&=0 \end{align} $$