(a b c) (k 2(a-k) p+k)
Given det (k l m) = d find det ( l 2(b-l) q+l)
(p q r) (m 2(c-m) r+m)
Please see the attached file for the fully formatted problem.
Determinants, Transposes and Row Reduction are used to find the relationship between determinants. The solution is detailed and well presented.