I have a large matrix, around $10\times10$. Each individual element in the matrix itself is also a very large number, roughly of the order $10^{30}$.
I know that matrices can be used to solve linear equations. So if there is an equation $ax + by = c$ then can I denote the $10\times10$ matrix, $a$, using $x\text{ and }y$ which are just $2$ real numbers and $b\text{ and }c$ which are matrices. Can this be used to compress the larger matrix?
If not, then is there any other way that I can use so that I can use some form of short expression which can be evaluated into the larger matrix?