El Inmn'enoe of the unit square. Consider the linear dynamical system :i: = A1: with A E R2\". The unit square in R2 is dened by S={:r| 1gzlg1, 453251}. {a} Find the exact oonditions on A for which the unit square 3' is invariant under it = A2. Give the oonditions as e:Irplieitl}'.r as possible. (h) Consider the following statement: if the eigenvalues of A are real and negative, then S is invariant under it = Am. Either show that this is true, or give an explicit counterexample