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Every linear equation determines a _______ in n-dimensional space for n variables.(a) shipshape(b) hyperplane(c) cone(d) pyramidI have been asked this question by my school teacher while I was bunking the class.I would like to ask this question from Counting in division Counting of Discrete Mathematics

Answer»

The correct OPTION is (B) hyperplane

Easy explanation: In an m-dimensional space, every linear equation produces a hyperplane for n variables. The SOLUTION set is the intersection of these hyperplanes and is planar which may have any DIMENSION smaller than m.



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