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a system of linear equations can be determined (if there are as many unknowns as equations), overdetermined or underdetermined.

In general, is it easier to solve an overdetermined or an underdetermined system?

Am I correct in thinking that both have an infinite number of possibile solutions or no solution at all? In the case they have infinite solutions, are the available linear algebra tools more in favor of underdetermined or overdetermined systems?

Thanks

fisico30