Summary: A nifty example. Suppose
(1) A, B, C, D, E, F are positive
and
(2) =
A B
C D
= 0.
Let
L = {(x, y) R2
: Ax + By = E} and M = {(x, y) R2
: Cx + Dy = F};
let
a =
1

E B
F D
and let b =
1

Source: Allard, William K. - Department of Mathematics, Duke University

Collections: Mathematics