A system of three linear equations with three variables in the form
with could be considered geometrically as three different planes intersecting each other in various ways, depending what those coefficients are. Some of the coefficients may be equal to other coefficients--or not.
Let be the coefficient matrix of that above system. If , which of the following could be true about the system?
A. The planes are all parallel to each other.
B. A line is formed by the intersection of all three planes.
C. The planes form a triangular prism missing the triangular faces.
D. The planes all intersect at a single point.