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



2 Answers | Add Yours

pramodpandey's profile pic

Posted on (Answer #2)

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 ,


has infinite no. of solution.

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

pramodpandey's profile pic

Posted on (Answer #1)


Homogeneous system - may be unique.

Non Homogeneous system  not unique.

We’ve answered 395,882 questions. We can answer yours, too.

Ask a question