Please solve in matlab. will upvote attempt! Thanks

Problem 4 : Given the continuous LTI system: 0 0 1 0 0 0 0 0 1 i(t) = 0 -1 (t) + u(t) -2 1 1 -2 1 0 0 1 1 1 -1 1 0 0 0 0 1 0 a. (3 points) Consider the infinite horizon quadratic cost: J = Solve the ARE for the cost function, using Matlab. b. (3 points) Using the solution P, obtain the K matrix using Matlab. C. (6 points) Use Matlab to plot the trajectory xi(t), xz(t) of the system for the following cases open-loop system with zero input and initial condition x(0) = (1,0,0,0]'. Plot for timet e [0, 15). closed-loop system (u = -Kx) with initial condition x(0) = [1,0,0,0]'. Plot for timet e [0, 10). Problem 4 : Given the continuous LTI system: 0 0 1 0 0 0 0 0 1 i(t) = 0 -1 (t) + u(t) -2 1 1 -2 1 0 0 1 1 1 -1 1 0 0 0 0 1 0 a. (3 points) Consider the infinite horizon quadratic cost: J = Solve the ARE for the cost function, using Matlab. b. (3 points) Using the solution P, obtain the K matrix using Matlab. C. (6 points) Use Matlab to plot the trajectory xi(t), xz(t) of the system for the following cases open-loop system with zero input and initial condition x(0) = (1,0,0,0]'. Plot for timet e [0, 15). closed-loop system (u = -Kx) with initial condition x(0) = [1,0,0,0]'. Plot for timet e [0, 10)