I am attempting to find a 'smarter' way to solve a matrix, in the form $Ax=B$, where
where $N$ is constant, $K$ is a constant matrix, and $F$ is a vector of;
where $Y$ is a vector constant.
I'm not hugely mathematical, and my linear algebra skills could be put on the back of a napkin, but seeing this kind of repetition indicates to me that there must be a shortcut for this.
Does anyone have any insights?