Consider a 3 x 3 matrix
[ 1.000 1.000 0.000]
A = [1.000 1.000 0.000]
[-1.000 1.000 2.000]

Find and intertible 3 x 3-matrix P and a diagonal 3 x 3-matrix D such that A - PDP⁻¹. In order to be accepted as correct, all entries of the matrix A - PDP⁻¹ must have absolute value smaller than 0.1