Theories

Some theories that I have come up with are:

Business Software Development Religion/Philosophy Math
Define a new operation on matrices. It is called factorial. It is defined like a scalar on a matrix. (e.g.) \[ \begin{pmatrix} a & b \\ c & d \\ \end{pmatrix} ! = \begin{pmatrix} a! & b! \\ c! & d! \\ \end{pmatrix} \] note: the order of operations would be before multiplication and division.
This new operation works under addition. \[ \begin{pmatrix} a & b \\ c & d \\ \end{pmatrix} ! + \begin{pmatrix} e & f \\ g & h \\ \end{pmatrix} ! = \begin{pmatrix} a! + e! & b! + f! \\ c! + g! & d! + h! \\ \end{pmatrix} \] This new operation works under multiplication. \[ \begin{pmatrix} a & b \\ c & d \\ \end{pmatrix} ! * \begin{pmatrix} e & f \\ g & h \\ \end{pmatrix} ! = \begin{pmatrix} a!e! + b!g! & a!f! + b!h! \\ c!d! + d!g! & c!f! + d!h! \\ \end{pmatrix} \]