Question

If A = [(1, 2), (1, 1)]  and ϕ(x) = (1 + x) (1 - x)^-1 and f(A) = -λA, then find the value of λ. 

Answer 1

As 

ϕ(x) = (1 + x) (1 - x)^-1

Therefore,

Now, comparing the above equation with f(A) = -λA, we have λ = 1