Hey all, I have been playing around with a special type of matrix and am wondering if anyone knows of some literature about it. I have been calling it a pseudo-orthogonal matrix but would like to learn if it has a real name or if we can come up with a better name. The characteristics of the matrix are as follows:(adsbygoogle = window.adsbygoogle || []).push({});

1) The matrix is composed of only ones and zeros

2) Each row and each column have the same number of ones in it. (If there are 3 ones in each row/column then I call a 3rd order matrix)

3) Between any two rows, there is one and only one common column with a one.

Here is an example of what I call a 3rd order pseudo-orthogonal matrix. Let's call him 'M'

1 1 1 0 0 0 0

1 0 0 1 1 0 0

1 0 0 0 0 1 1

0 1 0 1 0 1 0

0 1 0 0 1 0 1

0 0 1 1 0 0 1

0 0 1 0 1 1 0

I call it a pseudo inverse because inv(M) = M/2-1/6 , i.e. with adding and multiplying by constants I can arrive at the inverse of M.

Has anyone played with something like this before? I am hoping to gleen information to help me generate higher order matrices of this type.

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# Pseudo-orthogonal matrix?

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