3.2 -Use the plane TrA/DetA to identify the Type and Stability of the critical points for the linear systems d = A X, in each of the cases of matrix A,

as given below; not to be done using the direct calculation of eigenvalues and eigenvectors of the matrices. dt 21 2 1 1-4 0 2 -18 (@)^= { ? ! )}; (4=( 7 _! }(4=( 12 + )-0^4 = [ 2₂ 4 )³ 4 = ( 2 } }); { A= A= 12 1-3 -1 -3 -1 -27 Justify your answers based on the values of Det A and TrA that you obtain directly from the matrices A and hence describe the eigenvalues for each system. (Help: Remember that when Det A<0, you don't need any other calculation as the CP is identified in the lower part of the plane TrA/DetA....)