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

2 Answers

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pramodpandey | College Teacher | (Level 3) Valedictorian

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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 ,


has infinite no. of solution.

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