If a linear system of m equations in n variables has no solu

If a linear system of m equations in n variables has no solution, then a) m > if, b) m n, b) m

Solution

(2) if m = n then the system has no solutions

since for th esystem of m linear equations in n variables has m = n then its rank will be r = n the system have n -n that is no linearly independent solution.

(3) if m<n then th esystem has infinite solutions.