4. Read Section 4.5 An Application to Computer Graphics of the textbook. [6 marks] {a} Let o: = 1 + last digit of your 1York student ID ,8 = II] +seoond last digit of your 1I'orll: student ID Rotate the letter A in Figure 4.5.2 elockvdse through g about the point [3] {b} Give the 3 X 3 matrix for rotating counterclockwise through the angle 5' about the point [i] . 5. Head Section 2.9 An Application to Markov Chain of the textbook. 13 o: 2 second digit of your York student ID Let a. = , 5 = m and c 2 g where B 2 third digit of your York student ID '1' = fourth digit of your York student ID Given transition matrix [3 marks] [% i a P = U % b . 1% .1 c D [a] Suppose the system states at State 3, that is .5\" = [I] . Find the probability the system is in State '1 l aer two transitions. {b} Find the steady-state vector