all of them please

5. (7 marks) Below is the matrix representation of a partial ordering on the set {a,b,c,d,e,f,g,h} : 1000000001000000001000001111000011111000111101001111011011110111 a) Draw the Hasse diagram of the poset. b) What are the minimal elements? Is there a least element? c) What are the maximal elements? Is there a greatest element? d) What are the upper bounds of {a,d,e} ? Is there a least upper bound? e) What are the lower bounds of {d,f} ? Is there a greatest lower bound? f) Find a subset of {a,b,c,d,e,f,g,h} with 4 elements that does not have any upper bound or lower bound