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Solve a math puzzle involving matrices

This project was awarded to dorn9 for $164 USD.

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Project Budget
$30 - $250 USD
Total Bids
11
Project Description

This is an experiment to see if freelancer can be combined with stackexchange to monetize problems.

I would like a solution to the following math puzzle:

[url removed, login to view]

If you can only solve the 2x2 or 3x3 cases, that is acceptable. If the solution is a proof that such a matrix construction does not exist, the proof steps must be written clearly and explicitly.

NOTE: Your work should be submitted via freelancer.com. Of course you are free to post your work on stackexchange as well, but the official work must be submitted as usual on [url removed, login to view]

NOTE(2): If you find the solution to this somewhere else, that is acceptable, just reference it and summarize the solution.

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