Any help with these three questions would be greatly appreciated, thank you!

Y(s) Problem 11: For the given transfer function s+5 U(s) 32 +68+9 a state space model given is given as [xi(t) 0 1 xz(t) -9 -6 X2 [ x,(t) y(t) = [5 1] 1:0) This model is in ANS: (a) controllable canonical form (b) observable canonical form (c) diagonal canonical form (d) phase variable canonical form Problem 12: The given matrix A [1 2 17 A = 2 1 2 0 2 0 is ANS: (a) PD (b) PSD (c) ND (d) NSD (e) ID Problem 13: The determinant of given matrix A has the value 2 1 0 3 0 - 1 2 1 A = 0 0 0 1 0 0 - 1 - 2 ANS: (a) 0 (b) 1 (c) -1 (d) 2