I need to prove whether the following linear operator is normal, self-adjoint, or neither, and if possible, to find an orthonormal basis of eigenvectors of T for V and the corresponding eigenvalues

Let V = $\displaystyle \mathbb{R}^2$ be an inner product space, let T be defined by T(a,b) = (2a-2b,-2a + 5b)

No idea how to do this ,any help please? thanks