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planes meet at a single point
system of equations consistent/one solution/non-singular
planes form a sheaf
system of equations consistent/line of intersection=infinitely many solutions/singular
planes form a prism
system of equations inconsistent/don’t intersect at point/no solutions/singular
two or more planes parallel and non identical
system of equations inconsistent/never intersect/no solutions/singular
same plane
system of equations is consistent/infinitely many solutions/singular