## Elementary Linear Algebra 7th Edition

It is possible for a system of linear equations with fewer equations than variables to have no solution, for example $$x+y+z=1, \quad x+y+z=0.$$ It is easy to see that the above system has no solutions.
It is possible for a system of linear equations with fewer equations than variables to have no solution, for example $$x+y+z=1, \quad x+y+z=0.$$ It is easy to see that the above system has no solutions.