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

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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.