The matrix [ 2 5 ]
[ 6 1 ]
has eigenvalue λ₁ = 7 with eigenvector u₁ = [1,1] and λ₂--4 with u₂[-5, 6].

(c) Use the method discussed following Example 8 to determine a and b so that the vector v = [6,9] can be written as v-au, + bu2, and use this representation of v to compute A'v