1. The problem statement, all variables and given/known data Using Gauss-Jordan elimination determine the intersection of the following systems. Identify the type of system geometrically. a) 3x-2y+z=0 4x-5y+7z=0 6x+3y=0 b) x-2y+3z=0 x+y-z=4 2x-4y+6z=5 c) x+y+2z=-2 3x-y+4z=6 x+2y=-5 3. The attempt at a solution I got the following intersections for the above systems. a) (0,0,0) b) (0,0,1) c) (1,-3,0) However, how do I "identify the system geometrically"? Also, how would identify the type of system and verify my solution using the normals of the planes? I'm having alot of trouble with this, if anyone could help me out I'd really appreciate it! Thanks in advance!