Question 3 Consider the system defined by A and C below. Find the nullspace of the corresponding observability matrix. Either write your solution here or attach a handwritten file In (): A = np.array( [0.,1,0], [0,0,1), 1 -6,-11,-611) np.array([[2.,1,011) Question 4 Let y be a non-zero vector in the nullspace of Q from the previous question. Find a number 2 such that Av = 22 Either write your solution here or attach a handwritten file. Question 5 Let v be the vector you found in the previous question. Find vectors w, and W2 so that the matrix defined by V = [ w, W2"] is invertible. Either write your solution here or attach a handwritten file. Question 3 Consider the system defined by A and C below. Find the nullspace of the corresponding observability matrix. Either write your solution here or attach a handwritten file In (): A = np.array( [0.,1,0], [0,0,1), 1 -6,-11,-611) np.array([[2.,1,011) Question 4 Let y be a non-zero vector in the nullspace of Q from the previous question. Find a number 2 such that Av = 22 Either write your solution here or attach a handwritten file. Question 5 Let v be the vector you found in the previous question. Find vectors w, and W2 so that the matrix defined by V = [ w, W2"] is invertible. Either write your solution here or attach a handwritten file