The equations of the circles are
If I can use matrices to solve for $(x,y)$, how? Also, I know there will be two answers. The one I am looking for is the one with the greater $y$ value, if that helps any.
CONTEXT: I am trying to bilaterate (altered version of triangulation) and that is basically how. I am also programming this and have already found a working method. However, this program does not calculate decimals accurately. I am hoping that solving this problem with matrices will allow me to calculate decimals with accuracy (hopefully to the thousandths or ten thousandths).