Question: Question about Matrices

I have a 6*6 matrix which is A:[1,1,1,1,1,1],[1,0,-1,1,0,-1],[2,1,0,2,1,0],[4,1,2,0,4,1],[1,-2,1,-6,0,1],[5,4,-1,-2,5,0]

How can I show the system Ax=b is consistent or inconsistent if

x= [x1          b= [1

     x2                 0 

     x3                 1

     x4                 0

    x5                  1

    x6]                  0]

 

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