This returns a list containing two entries, the row and column coordinates in the original matrix for a specified sized submatrix. In this case, the terms of that submatrix are likely higher in degree than other terms of the matrix.
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It returns a list with two entries, first a list of row indices, and then a list of column indices. In this case, x^4 is the biggest element, and after removing that row and column from consideration, y^4 is biggest. Thus we want rows 0 and 1 and columns 2 and 0.
The object chooseSubmatrixLargestDegree is a method function with options.