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Determine all possibilities for the solution set of a homogeneous system of 4 equations in 4 unknowns.(a) only one(b) finitely many or zero(c) zero(d) one or infinitely manyThe question was posed to me during an internship interview.My question is from Counting in section Counting of Discrete Mathematics

Answer»

Right answer is (B) finitely many or zero

The best explanation: Here the number of equations and the number of unknowns are equal and the system is HOMOGENEOUS, so it may have the zero SOLUTION or INFINITELY many solutions.



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