Solve a math puzzle involving matrices

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 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.

Skills: Algorithm, Education & Tutoring, Mathematics, Matlab and Mathematica

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About the Employer:
( 7 reviews ) Laurel, United States

Project ID: #11799917

Awarded to:

$164 USD in 10 days
(30 Reviews)

8 freelancers are bidding on average $170 for this job


Very willing to be a bridge between StackOverflow and Freelancer with showing off my experience and power about Matlab. You can check my profile.

$100 USD in 5 days
(165 Reviews)

I am the best at math

$235 USD in 1 day
(104 Reviews)

I'm a PhD student in Engineering with a Master's in Statistics. Expert in Matlab, Minitab Econometric and statistical modeling of pretty much everything you can think of. These include expertise on protocol development More

$235 USD in 3 days
(15 Reviews)
$50 USD in 1 day
(6 Reviews)

Being an experienced academic writer and well researcher. I am 100% confident I can do this project perfectly. I have already written PhD and Masters Level Paper for UK and US Students and I can easily work on it. I am More

$157 USD in 3 days
(2 Reviews)

I'm a Mathematician and i already have a Mathematician on it. please send me a PM so i can contact you when (or if) it's ready

$166 USD in 5 days
(0 Reviews)

Hi, I am competitive to this kind of task, can take good care of this project. In fact, I already done related to this job before. Let me know the best of your time so we can discuss further based on your requirements More

$249 USD in 5 days
(0 Reviews)