I have a system of linear equations that make up an
NxM matrix (i.e. Non-square) which I need to solve - or at least attempt to solve in order to show that there is no solution to the system. (more likely than not, there will be no solution)
As I understand it, if my matrix is not square (over or under-determined), then no exact solution can be found - am I correct in thinking this? Is there a way to transform my matrix into a square matrix in order to calculate the determinate, apply Gaussian Elimination, Cramer's rule, etc?
It may be worth mentioning that the coefficients of my unknowns may be zero, so in certain, rare cases it would be possible to have a zero-column or zero-row.