The Th -Market Matrices make a Group of multiplication. We can do lots of calculation (basic arithmetic) on diagonal matrices just like we do on real numbers.
The stocks are not for free, so they all non-zero, positive number, Their reciprocals make the inverse of Th -MarketMat. Th -Market Mat can be R-multiplied and L-multiplied, and the product is another 17-vector. It means that the multiplication is close; Has inverse, ...
If the diagonal elements of the Th -matrix are replaced by non-zero real numbers, then it becomes a normal diagonal matrix and a normal diagonal matrix is a Multiplicative Group. Then the Th -matrix has some practical applications. For example, if we replaced the diagonal ...
Th -Matrix is the Identity Matrix, which is a matrix of multiplicative identity, and has a few special properties: 1) It can be multiplied by the left or right by a same dimensional matrix, but remains the same: I*A = A*I = A 2) If the product of two matrices A and B is an Identity Ma ...
Since the seventeen ’s=1 are mutually perpendicular to each other in 17-space, they form a 17*17 Diagonal Matrix. We named it Theodorus-Matrix, or Th -Matrix.The diagonal elements of this 17*17 Th -Matrix are equal to 1, and the non-diagonal elements are zeros: ...