In Exercises 4 determine if the system has a nontrivial solu

In Exercises 4, determine if the system has a nontrivial solution. Try to use as few row operations as possible.

4. 5x1-3x2 +2x3=0

-3x1-4x2+2x3 =0

Solution

The system has a nontrivial solution.

(5x1) - (3x2) + (2x3) = 5 - 6 + 6 = 5 not equals 0

similarly

-(3x1)-(4x2)+(2x3) = - 3 - 8 + 6 = - 5 not equals 0