2. Find the solution to the dynamical system: In 2 -3 0 Tpn-1 I 2 Yn| =12 =5 O {Yn-1), (Wo| =1 % 0 0 3 =y 20 2 Write separate equations for z,, y,, and z, in simplified form. In this problem you will need to find the eigenvectors of a 3 x 3 matrix. There are two zeros in row 3 that will make this job easy. In each case explain your reasoning in terms of linear combinations of the columns of the matrix