The Maximum Volume Ellipsoid Problem is to find the largest ellipsoid (measured by volume) inscribing a given polytope defined by a finite number of linear inequalities; that is, Ax <= b, where A is an m by n matrix with m > n and b is an m-vector.
By definition, a polytope is a bounded polyhedron. For the problem to have a meaningful solution, the polytope must be full dimensional (i.e., it must have a non-zero volume).
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