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The arbitrary constant and showing for example why a 2x3 linear system doesn't have a unique...

The arbitrary constant and showing for example why a 2x3 linear system doesn't have a unique solutions confuses me:

Apparently: 2x3 there are 2 equation and 3 variable.. I don't know where to go from here.

Can I take any 2x3 matrix to show that a linear system doesn't have a unique solution?

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