superprismatic Posted October 18, 2011 Report Share Posted October 18, 2011 Below are 5 matrices. Your task is to orient the matrices so that when you add them up element-wise, you get a 5×5 matrix of all 20s. You may flip them over, rotate them by multiples of 90°, or both. Matrix 1: 1 4 2 4 3 5 8 0 0 10 2 1 2 3 10 9 1 8 0 2 2 1 8 0 1 Matrix 2: 10 4 7 4 5 3 4 10 5 9 0 10 4 9 7 9 3 0 9 0 4 7 0 1 10 Matrix 3: 2 2 7 0 2 9 4 8 0 1 5 0 3 10 10 6 4 2 4 5 1 1 1 0 3 Matrix 4: 5 0 2 0 10 1 8 6 3 8 2 3 2 2 4 5 1 0 9 7 7 0 1 3 1 Matrix 5: 3 3 1 11 5 0 10 2 1 7 3 1 9 0 0 1 4 5 2 1 1 10 8 7 4[/code] Quote Link to comment Share on other sites More sharing options...
0 robo Posted October 19, 2011 Report Share Posted October 19, 2011 Flip matrix 2 horizontally; Rotate matrix 3 by 180 degree; Rotate matrix 4 by 90 degree clockwise; Rotate matrix 5 by 180 degree After the operations, the matrices stand as: Matrix 1: 1 4 2 4 3 5 8 0 0 10 2 1 2 3 10 9 1 8 0 2 2 1 8 0 1 Matrix 2: 5 4 7 4 10 9 5 10 4 3 7 9 4 10 0 0 9 0 3 9 10 1 0 7 4 Matrix 3: 3 0 1 1 1 5 4 2 4 6 10 10 3 0 5 1 0 8 4 9 2 0 7 2 2 Matrix 4: 7 5 2 1 5 0 1 3 8 0 1 0 2 6 2 3 9 2 3 0 1 7 4 8 10 Matrix 5: 4 7 8 10 1 1 2 5 4 1 0 0 9 1 3 7 1 2 10 0 5 11 1 3 3 Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted October 19, 2011 Author Report Share Posted October 19, 2011 Flip matrix 2 horizontally; Rotate matrix 3 by 180 degree; Rotate matrix 4 by 90 degree clockwise; Rotate matrix 5 by 180 degree After the operations, the matrices stand as: Matrix 1: 1 4 2 4 3 5 8 0 0 10 2 1 2 3 10 9 1 8 0 2 2 1 8 0 1 Matrix 2: 5 4 7 4 10 9 5 10 4 3 7 9 4 10 0 0 9 0 3 9 10 1 0 7 4 Matrix 3: 3 0 1 1 1 5 4 2 4 6 10 10 3 0 5 1 0 8 4 9 2 0 7 2 2 Matrix 4: 7 5 2 1 5 0 1 3 8 0 1 0 2 6 2 3 9 2 3 0 1 7 4 8 10 Matrix 5: 4 7 8 10 1 1 2 5 4 1 0 0 9 1 3 7 1 2 10 0 5 11 1 3 3 Yep, you've got it! Quote Link to comment Share on other sites More sharing options...
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superprismatic
Below are 5 matrices. Your task is to orient the
matrices so that when you add them up element-wise,
you get a 5×5 matrix of all 20s. You may flip
them over, rotate them by multiples of 90°, or both.
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