1. Compute the Jordan canonical form, and compute a matrix V such that VAV is in the Jordan canonical form: A) 0 O 0 2 0 BY -2 0 1/3 -5/3Problem 1: For the following transfer function s2 + 2s + 3 G(S)= $3 + 5s2 + 8s + 4 a. Obtain the state space representation in controllable canonical form. b. Obtain the state space representation in observable canonical form. c. Repeat parts a & b using MATLAB. Problem 2: Given the following transfer function s+9 G(S) = $2 + 3s + 2 Find the state space representation and draw a block diagram for the system in the following forms a) Controllable Canonical Form. b) Observable Canonical Form. c) Diagonal Canonical Form. Repeat a and b using MATLAB.1} Determining State Equation The transfer function of a linear system is given by 12(s + 1) am = 3(3 + 3x: + 2)2 Write the state equations in a] The Controllable Canonical form b) The Observable Canonical form :1 Can you write It in Diagonal Canonical form. Why? {1) If your answer to part c is NO, please find closest form to diagonal Canonical form. [Namely Jordan Canonical Form} QUESTION 5 What is the disadvantage of using 2 one-way ANOVAs instead of conducting a two-way ANOVA? O One-way ANOVAs show only the main effects and not the interactions, You're more likely to violate the homogeneity of variances assumption with a one-way ANOVA. O One-way ANOVAs needlessly raise the power of the statistical tests, O You have to run post-hoc tests if you conduct multiple one-way ANOVAs.Construct the one-way ANOVA table. 9) A one-way ANOVA is to be performed. Independent random samples are selected 9) from three different populations. The sample data are given in the table below. ABC Construct the one-way ANOVA table for the data