2. Let a, b be real constants and F = {(11), (10)} a basis of R2.If the linear transformation T: R2 ? R2 is associated with the matrix [T] FC = (abba)Consider the following propositionsI. The transformation is always orthogonally diagonabilizableII. If a = 0, then the transformation has an eigenvalue of algebraic multiplicity equal to 2III. For all real values ??of a and b, the vector v = (1,1) is an eigenvector.IV. If b ? 0 and a = b, then the transformation is diagonizable. Select one:Only II. and III.Only I. and III.Only I. and II.Only II. and IV