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How is this a lattice?

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It is lattice

 every two elements have a unique supremum  (also called a least upper bound or join) and a unique infimum  (also called a greatest lower bound or meet) is called lattice. 

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tusharp asked Jul 14, 2018
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I am not getting the (2n-1) factor. n^2 is for matrix mul and multiplication is being done (n-1) times. so n^2(n-1) is understood. But what is (2n-1)??