Fill a 9x9 matrix such that every row, column and 3x3 box contain a set of the digits one to nine once each
Sudoku
oops - my bad.
To fill a 9x9 matrix such that every row, column, and 3x3 box contains the digits one to nine once each, you can follow the rules of Sudoku. Here's a step-by-step guide:
Step 1: Start with an empty 9x9 matrix grid.
Step 2: Choose any row or column to start filling the numbers. For simplicity, let's start with the first row.
Step 3: Start with the number 1. Place it in an empty cell in the first row. Ensure that no other 1s are present in that row, column, or the 3x3 box it belongs to.
Step 4: Move to the next number, in this case, 2. Place it in an empty cell within the first row, considering the same restrictions as before.
Step 5: Continue filling the numbers one by one, following the same rules. If you encounter a situation where you cannot place a certain number in any empty cell in a row, column, or 3x3 box, backtrack and try a different number in the previous cell.
Step 6: Once you finish filling the first row, move to the next row and repeat the process. Ensure that each row, column, and 3x3 box is filled with the digits one to nine.
Step 7: Keep repeating Step 6 until the entire 9x9 matrix is filled.
Please note that there can be multiple valid solutions to a Sudoku puzzle. Therefore, there is not a unique way to fill the matrix, but following the guidelines above will help you arrive at a valid solution.