Is the trivial solution is always a unique solution? True or false????

### 2 Answers | Add Yours

Let us consider the system of equation

2x+3y = 0

4x+6y =0

In this system of equation , x=y=0 is trivial solution.

But this solution is not unique as well.

Since one equation is multiple of the other so ,

2x+3y=0

has infinite no. of solution.

Thus we can conclude that trivial solution is always not unique.

False

Homogeneous system - may be unique.

Non Homogeneous system not unique.

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes