In: Math
Find the two scalars (in C) λ1 and λ2 so that A − λI is singular. For
A = [11 1 -1]
Use the fact that A − λI is singular iff det(A − λI) = 0.
For each λi find a basis for RS(A−λiI). Each basis will consist of a single vector, verify that the two vectors you found are orthogonal.