A state-space model is represented by the following equations x₁ = ax₁ + x₂ + bu; X₂ = Cx₂ + x3; X3 = X₂; (a) Find the state-space matrices (A, B, C, and D) to satisfy the following standard model? x = Ax + Bu; y = Cx + Du; Assume the numerical values of the a, b, and c constants in the differential equations and put in the A, B, C, and D matrices, consider all states output. (b) Plot step response for the state X₁ and describe the highlights of the plots in three sentences? Note: Type the answers in the given space here or upload the scanned copy of your hand-written or typed answer along with typed MATLAB codes in one file. Remember, individual students will have different assumptions of the values, so, avoid copy- paste, otherwise, the answer will receive a zero mark. Make sure describe the detail procedures in your answer as applicable to get partial marks in case if the answer is not completed. Make sure you type/write the answer next to the question number, e.g., Q21(a), Q22(b) and so on. 2