Chapter 1Matrices and Systems of Equations1Systems of Linear EquationsWhere the aijs and bis are all real numbers,xis are variables.We will refer to systems of the form(1)as mn linear systems.Definition Inconsistent:A linear system has no solution.Consistent:A linear system has at least one solution.Example()x1+x2=2 x1 x2=2()x1+x2=2 x1 +x2=1()x1+x2=2 x1 x2=-2Definition Two systems of equations involving the same variables are said to be equivalent if they have the same solution set.Three Operati
