Inconsistent systems
All three figures represent three-by-three systems with no solution. (a) The three planes intersect with each other, but not at a common point. (b) Two of the planes are parallel and intersect with the third plane, but not with each other. (c) All three planes are parallel, so there is no point of intersection.
Source
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"OpenStax Precalculus."
http://cnx.org/contents/fd53eae1-fa23-47c7-bb1b-972349835c3c@3.51
OpenStax
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