is a multiple of (1, 1)∈R2
is not a multiple of (1, 1)∈R2
T:R2→R2 be defined by T(a, b) = (2a, 3b), a,b ∈R
For x = (1, 0), T(x) =
For x = (-1, 1), T(x) =
λ∈R and T:R2→R2 is linear
λ is an eigenvalue of T, if T(x) = λx,
y is an eigenvector corresponding to eigenvalue λ,
if for y∈R2, T(x) = λx and