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The book I am using is terrible so I was hoping someone could shed some light.

**Question:**

Give a geometric explanation of why a homogeneous linear system consisting of two equations in three unknowns must have infinitely many solutions. What are the possible numbers of solutions for a nonhomogeneous 2 x 3 linear system? Give a geometric explanation of your answer.

If anyone could help me on this I would appreciate it.

mpm