Problem 1. Given the following system (4 pts) 7* whose transfer matrix is -1 0 G(s) = S + 1 2 -6 s + 2' s +3 1. Using Matlab, determine the eigenvalues 21 and 12, and the singular values 01 and 2 of the process gain matrix K=G(0)? Deduce the condition number k(G). What is the rank of K? 2. Implement this system in Simulink and solve for y(t) when r(t)=[S(t), u(t)]T where u(t) is the unit step function and 8(t) is the delta function. Problem 1. Given the following system (4 pts) 7* whose transfer matrix is -1 0 G(s) = S + 1 2 -6 s + 2' s +3 1. Using Matlab, determine the eigenvalues 21 and 12, and the singular values 01 and 2 of the process gain matrix K=G(0)? Deduce the condition number k(G). What is the rank of K? 2. Implement this system in Simulink and solve for y(t) when r(t)=[S(t), u(t)]T where u(t) is the unit step function and 8(t) is the delta function