A system is described by the following state and output equations dx,(t) =-3x,(t) + x2(t) + 2u(t) dt dx,(t) == -2x2(t)+u(t) dt y(t)=x,(t) where, u(t) is the input and y(t) is the output. . The system transfer function is (a) 542 s² +5s-6 S+3 2s+5 2s-5 (b) (c) (d) s² +5s+6 s²+5s+6 s² +5s-6 The state transition matrix of the above system is (a) 0 +e e-2 (c) e-2 0 (b) -31 e-21 0 e:21 (d) e-21 0 e2