Question: pls solve fast 5. (7 marks) Below is the matrix representation of a partial ordering on the set {a,b,c,d, e, f,g,}: 1 0 0 1
5. (7 marks) Below is the matrix representation of a partial ordering on the set {a,b,c,d, e, f,g,}: 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 LO 0 0 0 0 0 0 1 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.S]? 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
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