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Exercise 2.1.35

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$x = (1, \dots, 1)$ gives $Sx =$ sum of each row $= 1 + \dots + 9 = 45$ for Sudoku matrices 6 row orders $(1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), (3, 2, 1)$ are in Section $2.7 .$ The same 6 permutations of blocks of rows produce Sudoku matrices, so $6^{4} = 1296$ orders of the 9 rows all stay Sudoku. (And also 1296 permutations of the 9 columns.)

mathchakra

2021-11-20 14:49

Exercise 2.1.35

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