Using matrices, solve the following system of equations: `x\ -\ y+z=4;\ 2x+y\ -\ 3z=0;\ x+y+z=2`

Explanation

x-y+z=4

2x+y-3z=0

x+y+z=2

`[[1,-1,1],[2,1,-3],[1,1,1]][[x],[y],[z]]=[[4],[0],[2]]`

`R_3=R_2-R_1`

`[[1,-1,1],[2,1,-3],[0,2,0]][[x],[y],[z]]=[[4],[0],[-2]]`

`R_3=1/2R_1`

`[[1,-1,1],[0,3,-5],[0,1,0]][[x],[y],[z]]=[[4],[-8],[-1]]`

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