Assignment 2 Due Date 10 October 2019 Submit a pdf a) Write equivalent predicate statements for the following English statement i. Every teacher loves some painter [2] ii. Some painter loves some teacher [2] iii. Every teacher who is also a painter loves Bob [3] b) If you send me an email, then I will finish my program. If you do not send me an email, then I will go to sleep early. Therefore If I go to sleep early. Is this argument valid c) Find the inverse of the following matrix [10] [7] d) Consider the following matrices A and B [7] a) Find the values of x , y and z given that [6] 7x + 2y + z = 21 3y − z = 5 −3x + 4y − 2z = −1 a) Simplify the Boolean expression (A+B)( A +B) B [5] e) Simplify [6] and draw the resulting gate