Would this system be consistent, inconsistent, or dependent? Would it be dependent because x and z could be any real number?
-2x+2y-z=4
2x-y+z=1
-2x+2y-z=4
2x-y+z=1
1 Answer
Jun 4, 2018
System is consistent and dependent
Explanation:
#{ (pi_1: -2x+2y-z=4, bbn_1 = [-2,2,-1]^T),(pi_2: 2x-y+z=1, bbn_2 = [ 2,-1,1]^T):}#
The geometric interpretation is that you have 2 planes that are not parallel - look at the normal vectors.
Hence you will have an infinite number of solutions along the line of intersection of the planes: system is consistent and dependent
