Question

Apply the test of rank to examine whether the following equations are consistent
2x-y+3z=8
-x+2y+z=4
3x+y-4z=0
And if consistent find the complete solution

Answer 1

√2x+√3y=0....(1)

√3x-√8y=0

√3x=√8y

x=√8y/√3....(2)

Substituting value of x in equation (1)

√2(√8y/√3)+√3y=0

√16y/√3+√3y=0

4y+3y/√3=0

7y=0

y=0