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

pramodpandey | Student

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 | Student


Homogeneous system - may be unique.

Non Homogeneous system  not unique.